The inverse function is g(x) = [tex] \frac{x + 10}{15} [/tex]
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.
[tex] \frac{x + 10}{15} [/tex] = g(x) ----> Switch the order
g(x) = [tex] \frac{x + 10}{15} [/tex]
And that would be your inverse function.
