Which expression represents the composition [g o f](x) for the functions below? f(x) = 3x – 2 g(x) = 1 + 2x 6x – 1 6x + 3 6x + 1 6x – 3

For this case we have the following functions:

We must find

By definition of composition of functions we have to:

So:

We apply distributive property to the terms of parentheses:

We add common terms:

ANSWER

EXPLANATION

The given functions are:

and

We want to find the composite function,

We know that:

This implies that,

We substitute 3x-2 into g(x) to get;

We expand to get;