Answer:
[tex] {f}^{ - 1} (x) = \frac{b}{x} [/tex]
Step-by-step explanation:
The given function is
[tex]f(x) = bx[/tex]
To find the inverse function, we let
[tex]y = bx[/tex]
We interchange x and y to get:
[tex]x = by[/tex]
We now solve for y to get:
[tex]y= \frac{b}{x} [/tex]
Therefore the inverse function is
[tex] {f}^{ - 1} (x) = \frac{b}{x} [/tex]
