Answer:
To find the inverse of f(x)=(1/3)x+2
Explanation:
First step, Substitute f(x)=y, we get
[tex]y=\frac{1}{3}x+2[/tex]Second step, change the variable x to y and y to x, we get,
[tex]x=\frac{1}{3}y+2[/tex]Solve for y, we get
[tex]x-2=\frac{1}{3}y[/tex][tex]y=3x-6[/tex]y is the required inverse function.
Consider y=h(x)
[tex]h(x)=3x-6[/tex]Answer is:
[tex]h(x)=3x-6[/tex]