Answer:
f⁻¹(x) = x/4 + 1/2
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