Question

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

Answer 1

D

Explanation:

Answer 2

The expression that represents composition
`(gof) (x)= 6x-3`

Explanation:

Given functions:

`f(x)=3x-2`

`g(x)=1+2x`

To find
`g(f(x))\ or\ (gof)(x)`

Plugging in
`f(x)` in
`g(x)`

`g(f(x))=1+2f(x)`

Substituting function
`f(x)=3x-2`

`g(f(x))=1+2(3x-2)`

Using distribution.

`g(f(x))=1+2(3x)-2(2)`

`g(f(x))=1+6x-4`

`g(f(x))=6x-3`

Thus the expression that represents composition
`(gof) (x)= 6x-3`