Find the inverse function for f ( x ) = √ 2 x − 6 .

Answer 1

Let y = √(2x) - 6 Domain = [0, ∞), Range = [-6, ∞)

Switch x and y: x = √(2y) - 6

Solve for y: √(2y) = x + 6

2y = (x + 6)²

y = (x + 6)^{2 /}/ 2 = f^-1(x), Domain = Range of f = [-6, ∞), Range = Domain of f = [0, ∞)