Question

Find the inverse of the function f(x) = 2x - 4.

Answer 1

f⁻¹(x) = 1/2 x + 2

Explanation:

f(x) = 2x - 4 y=2x - 4

swap x and y: x = 2y - 4

solve y: 2y = x + 4

y = 1/2 x + 2

Inverse notation: f⁻¹(x) = 1/2 x + 2