Answer:
[tex]f^{-1}x=\frac{x}{9}[/tex]
Step-by-step explanation:
Given : [tex]f(x)=9x[/tex]
To Find: Inverse of f(x)
Solution:
[tex]y=9x[/tex]
Replace x with y and y with x.
[tex]x=9y[/tex]
[tex]\frac{x}{9}=y[/tex]
[tex]\frac{x}{9}=f^{-1}x[/tex]
Thus the inverse is [tex]f^{-1}x=\frac{x}{9}[/tex]
Hence the inverse of [tex]f(x)=9x[/tex] is [tex]f^{-1}x=\frac{x}{9}[/tex]
