Algebra 1 : How to find f(x)

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #31 : How To Find F(X)

Define  and .

Evaluate .

Possible Answers:

 is undefined.

Correct answer:

Explanation:

First evaluate  and , then subtract.

 

 

Example Question #31 : How To Find F(X)

If , then which of the following is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

Plug in  for .

 

FOIL the squared term and distribute -4:

Distribute the 2:

Combine like terms:

 

Example Question #31 : How To Find F(X)

Define  .

If , evaluate .

Possible Answers:

Correct answer:

Explanation:

Plug in as if it were a constant, and then solve for its value:

Example Question #82 : Functions And Lines

 is defined as the least integer greater than or equal to 

Define .

Evaluate .

Possible Answers:

Correct answer:

Explanation:

Plug in 5.5:

Example Question #34 : How To Find F(X)

Find .

Possible Answers:

Correct answer:

Explanation:

Plug into .

Now plug that into :

Example Question #32 : How To Find F(X)

Solve for . When

Possible Answers:

Correct answer:

Explanation:

Given the equation,

  and  

Plug in  for  to the equation,  


Solve and simplify. 


Example Question #84 : Functions And Lines

Solve for , when .

Possible Answers:

Correct answer:

Explanation:

Plug in the  value for .

Simplify

Subtract

Example Question #85 : Functions And Lines

For the following equation, if x = 2, what is y?

Possible Answers:

7

9

1

16

25

Correct answer:

9

Explanation:

On the equation, replace x with 2 and then simplify.

Example Question #83 : Functions And Lines

Solve for  when .

Possible Answers:

Does not exist

Correct answer:

Explanation:

Plug 3 in for x:

 

Simplify:

 = 

 = 5

 

Example Question #88 : Functions And Lines

What is of the following equation? 

Possible Answers:

Correct answer:

Explanation:

To complete an equation with a  function, plug the number inside the parentheses into the equation for  and solve algebraically.

In this case the 

Square the 7 and multiply to get 

Add the numbers to get the answer .

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