# For f(x) = x + 3 and g(x) = 4x + 2, find the following functions. a. (f \cdot g)(x) \\ b. (g...

## Question:

For f(x) = x + 3 and g(x) = 4x + 2, find the following functions.

{eq}a. (f \cdot g)(x) \\ b. (g \cdot f)(x) \\ c. (f \cdot g)(0) \\ d. (g \cdot f)(0) {/eq}

## Compositions of Functions

We can combine existing functions in order to construct new ones. One type of combination is called a composition, and it's constructed when we evaluate one function inside of another.

{eq}(f \circ g)(x) = f(g(x)) {/eq}

## Answer and Explanation: 1

Become a Study.com member to unlock this answer! Create your account

View this answera. In order to construct this composition, we need to evaluate the function f at g. This means that we need to use g as the input in f. This gives us...

See full answer below.

#### Learn more about this topic:

from

Chapter 16 / Lesson 9Composition of functions is an operation between two functions such that the output of one function is the input of the other. Learn the notation and processes used to complete a composition of two functions as well as real world examples.