Question

Find the inverse of the radical function y=-5+2/5√x

Answer 1

y = (25/4)(x + 5)^2

Explanation:

1. Interchange x and y, obtaining: x = -5 + (2/5)√y

2. Solve this result for y: x + 5 = (2/5)√y

Squaring both sides, we get (x + 5)^2 = (4/25)y

Multiplying both sides by (25/5) cancels out the (4/25) coefficient:

y = (25/4)(x + 5)^2 This is the inverse of the given function.