Precalculus : Functions

Study concepts, example questions & explanations for Precalculus

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Example Questions

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Example Question #181 : Functions

Find  given the following functions:

Possible Answers:

Correct answer:

Explanation:

To solve, simply plug in 2 into f and then the result into g.

Thus,

Example Question #1311 : Pre Calculus

Suppose  and .  Find .

Possible Answers:

Correct answer:

Explanation:

To find , you must subsititue  into the function, .

Example Question #181 : Functions

If  and , what is 

Possible Answers:

Correct answer:

Explanation:

First, we find  or  Then, find , or 

Example Question #1312 : Pre Calculus

Given   and   find .

Possible Answers:

None of these.

Correct answer:

Explanation:

Finding  is the same as plugging in  into  much like one would find  for a function .

 and  

Insert g(x) into f(x) everywhere there is a variable in f(x):

Example Question #185 : Functions

We are given the following:

 and .

Find:

Possible Answers:

None of the other answers.

Correct answer:

None of the other answers.

Explanation:

Let's discuss what the problem is asking us to solve. The expression  (read as as "f of g of x") is the same as . In other words, we need to substitute  into

Substitute the equation of  for the variable in the given  function:

Next we need to FOIL the squared term and simplify:

FOIL means that we multiply terms in the following order: first, outer, inner, and last.

First: 

Outer: 

Inner: 

Last: 

When we combine like terms, we get the following: 

Substitute this back into the equation and continue to simplify.

None of the answers are correct.

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