Question

If f(x) is an invertible function, find the inverse of f(x) = (3x - 2)/5

Answer 1

Given f(x) = (3x - 2)/5

Let y = (3x - 2)/5

⇒ 3x - 2 = 5y ⇒ x = (5y + 2)/3

⇒ f-1(x) = (5x + 2)/3