Given the functions below
[tex]f(x)=3^{x-1}+4_{}[/tex][tex]g(x)=4x-7[/tex]
The composite function
[tex](f-g)(x)[/tex]
Can be obtained by subtracting the function g(x) from f(x)
This process can be shown below
[tex](f-g)(x)=(3^{x-1}+4)-(4x-7)[/tex][tex]\begin{gathered} (f-g)(x)=3^{x-1}+4-4x+7 \\ =3^{x-1}-4x+11 \end{gathered}[/tex]
Hence, the composite function (f -g) (x) is
[tex]3^{x-1}-4x+11[/tex]
Option B the correct answer.
