### All Precalculus Resources

## Example Questions

### Example Question #181 : Functions

Find given the following functions:

**Possible Answers:**

**Correct answer:**

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:**

To find , you must subsititue into the function, .

### Example Question #181 : Functions

If and , what is

**Possible Answers:**

**Correct answer:**

First, we find or Then, find , or

### Example Question #1312 : Pre Calculus

Given and find .

**Possible Answers:**

None of these.

**Correct answer:**

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.

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.