Question

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

Answer 1

Answer:

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