Question

G(x)=15x-10 find the inverse and function

Answer 1

The inverse function is g(x) = $\frac{x + 10}{15}$

You can find the inverse of any function by switching the g(x) value (or whatever the function value is labelled) and the x value. Then solve for the new g(x) value. The result will be your inverse function.

g(x) = 15x - 10 ---> Switch the g(x) and x

x = 15g(x) - 10 ---> Add 10 to both sides

x + 10 = 15g(x) ----> Divide both sides by 15.

$\frac{x + 10}{15}$ = g(x) ----> Switch the order

g(x) = $\frac{x + 10}{15}$

And that would be your inverse function.