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

f⁻¹ (x) = x/4 + 1/2

Step-by-step explanation:

To find the inverse of a function, switch the x and y variables, then isolate y.

f (x) replaced y, so you can replace it back.

y = 4x - 2

x = 4y - 2 Switched x and y

x + 2 = 4y Added 2 to both sides

y = x/4 + 2/4 Divided both sides by 4

y = x/4 + 1/2 Simplified

f⁻¹ (x) = x/4 + 1/2 Use function notation