Question

Given f(x) = the quantity of x plus 7, divided by 5, solve for f−1(3)

Answer 1

The answer to this equation is 8.

Answer 2

f(x) = the quantity of x plus 7, divided by 5
`f(x)= (x+7)/(5)`


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
`f^(-1)(x)`

So that:
`5*f(x)=x+7\\~\\~\\5f(x)-7=x\\~\\~\\Swap~now\\~\\~\\f^(-1)(x)=5x-7`

and for the value of 3:
`f^(-1)(3)=5(3)-7=15-7=8`
I hope that helps!