Answer:
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.
In this question:
[tex]y = 9x + 5[/tex]
Exchanging x and y:
[tex]x = 9y + 5[/tex]
Isolating y:
[tex]9y = x - 5[/tex]
[tex]y = \frac{x - 5}{9}[/tex]
[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
