Having the function f(x):
[tex]f(x)=\frac{1}{3}x+2[/tex]You can find its inverse as follows:
Rewrite it with:
[tex]f(x)=y[/tex][tex]y=\frac{1}{3}x+2[/tex]Solve for the variable "x":
[tex]\begin{gathered} y-2=\frac{1}{3}x \\ 3(y-2)=x \\ x=3y-6 \end{gathered}[/tex]Now you have to exchange the variables:
[tex]y=3x-6[/tex]Finally, rewrite h(x)=y:
[tex]h(x)=3x-6[/tex]The answer is the LAST OPTION.
