Answer:
C
Step-by-step explanation:
We want to find the inverse of g(x). One way to do this is to switch the g(x) and x in the original equation and then solve for g(x); that will give you the inverse.
Here, [tex]g(x)=\frac{3}{5} x-9[/tex]. Switch the g(x) and x to become: [tex]x=\frac{3}{5} g(x)-9[/tex]. Now solve for g(x) by isolating it:
[tex]x=\frac{3}{5} g(x)-9[/tex]
[tex]x+9=\frac{3}{5} g(x)[/tex]
[tex]\frac{5}{3} * (x+9)= g(x)[/tex]
[tex]g(x)=\frac{5}{3} x+15[/tex]
Thus, the answer is C.
Hope this helps!
