# Common Core: High School - Functions : Simple Functions and Coresponding Inverses: CCSS.Math.Content.HSF-BF.B.4a

## Example Questions

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### Example Question #1 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #2 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #3 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #4 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #5 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #6 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #7 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #8 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #9 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

### Example Question #10 : Simple Functions And Coresponding Inverses: Ccss.Math.Content.Hsf Bf.B.4a

Find the inverse of .

Explanation:

This question is testing one's ability to algebraically calculate the inverse of a given function. This also builds one's understanding of the concept of a function and its inverse at a basic level, graphing functions, and the Cartesian plane and its coordinate system.

For the purpose of Common Core Standards, finding the inverse of a simple function, falls within the Cluster B of build new functions from existing functions concept (CCSS.Math.content.HSF.BF.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Switch the  and  variables.

The given function is,

recall that  therefore,

.

Now switch the variables.

Step 2: Solve for .

Solving for  requires the use of algebraic operations to move constants from side to side. Remember to use the opposite operation to move a constant from one side to the other.

Step 3: Answer the question.

Recall that after the variable are switch, and  is solved for it is really the inverse of  that is being solved for thus, .

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