Question

If f(x) = 31-1 + 4 and g(X) = 4% -7, what is

Answer 1

Given the functions below

`f(x)=3^(x-1)+4_{}`
`g(x)=4x-7`

The composite function

`(f-g)(x)`

Can be obtained by subtracting the function g(x) from f(x)

This process can be shown below

`(f-g)(x)=(3^(x-1)+4)-(4x-7)`
`\begin{gathered} (f-g)(x)=3^(x-1)+4-4x+7 \\ =3^(x-1)-4x+11 \end{gathered}`

Hence, the composite function (f -g) (x) is

`3^(x-1)-4x+11`

Option B the correct answer.