# Precalculus : Functions

## Example Questions

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### Example Question #181 : Functions

Find given the following functions:       Explanation:

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

Thus,  ### Example Question #1311 : Pre Calculus

Suppose and .  Find .      Explanation:

To find , you must subsititue into the function, .    ### Example Question #181 : Functions

If and , what is      Explanation:

First, we find or Then, find , or ### Example Question #1312 : Pre Calculus

Given and find .    None of these. 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:     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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