Question

If f(x) = 3x, g(x) = 2x - 5 and h(x) = f(g(x)) . What is the inverse of h(x) ?

Answer 1

To find an inverse, exchange the x and y values, then solve for y.

Explanation:

`y = h(x) = 3(2x-5) = 6x - 15`

Now, exchange x and y ...

x = 6y - 15

Finally, solve for y ...

`y = (x+15)/6`

Hope that helps!