Respuesta :

kudzordzifrancis

ANSWER

The correct answer is A

[tex]f^{-1}(x)=\frac{x+b}{a}[/tex]

EXPLANATION


Given [tex]f(x)=ax-b[/tex].


We can find the inverse by taking the steps.


1. Let  [tex]y=ax-b[/tex]


2. Interchange x and y

[tex]x=ay-b[/tex]


3. Make y the subject


[tex]x+b=ay[/tex]


[tex]\frac{x+b}{a}=y[/tex]


The new function we got now is the inverse of f(x)


[tex]f^{-1}(x)=\frac{x+b}{a}[/tex]




SalenKotch

x + b/a Replace f(x) with y, interchange x and y and solve for y.