### All Precalculus Resources

## Example Questions

### Example Question #121 : Functions

Find the inverse function of .

**Possible Answers:**

None of the other answers.

**Correct answer:**

To find the inverse you must reverse the variables and solve for y.

Reverse the variables:

Solve for y:

### Example Question #122 : Functions

Are these two function inverses? and .

**Possible Answers:**

G(x) does not have an inverse.

No

Cannot tell

Yes

F(x) does not have an inverse.

**Correct answer:**

Yes

One can ascertain if two functions have an inverse by finding the composition of both functions in turn. Each composition should equal x if the functions are indeed inverses of each other.

The functions are inverses of each other.

### Example Question #123 : Functions

Find the inverse of the following equation:

**Possible Answers:**

**Correct answer:**

To find the inverse of a function, replace the x any y positions:

Original Equation:

Inversed Equation:

Now solve for the inversed y value.

### Example Question #124 : Functions

Find the inverse of the following equation:

**Possible Answers:**

**Correct answer:**

To find the inverse of a function, replace the x any y positions:

Original Equation:

Inversed Equation:

Now solve for the inversed y value.

### Example Question #125 : Functions

Find the inverse of the following equation:

**Possible Answers:**

**Correct answer:**

To find the inverse of a function, replace the x any y positions:

Original Equation:

Inversed Equation:

Now solve for the inversed y value.

### Example Question #126 : Functions

Determine the inverse function, given

**Possible Answers:**

**Correct answer:**

In order to find the inverse function we

- switch the variables and
- solve for the new variable

For the function

...

Hence, the inverse function is

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