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;

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step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2