Respuesta :
f(x) = the quantity of x plus 7, divided by 5[tex]f(x)= \frac{x+7}{5} [/tex]
To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:
- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).
- Swap x and f(x).
- The result is the inverse of the original function [tex]f^{-1}(x)[/tex]
So that:
[tex]5*f(x)=x+7\\~\\~\\5f(x)-7=x\\~\\~\\Swap~now\\~\\~\\f^{-1}(x)=5x-7[/tex]
and for the value of 3:
[tex]f^{-1}(3)=5(3)-7=15-7=8[/tex]
I hope that helps!
