Question

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

Answer 1

f(x) = the quantity of x plus 7, divided by 5$f(x)= \frac{x+7}{5}$

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!

Answer 2

Answer:

The answer to this equation is 8.