Which expression represents the composition [g o f](x) for the functions below?

f(x) = 3x – 2
g(x) = 1 + 2x

a- 6x – 1
b- 6x + 3
c- 6x + 1
d- 6x – 3

[g o f](x)= 6x -3

D is the correct option.

Step-by-step explanation:

We have been given the functions

f(x)=3x-2

g(x)=1+2x

The composite function [g o f](x) is equal to

[g o f](x) = g(f(x))

[g o f](x)=  1+2(3x-2)          (Substitute the value of f(x))

[g o f](x) = 1+ 6x - 4            (Distribute 2 over the parenthesis)

[g o f](x)= 6x -3

Thus, D is the correct option.

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse