Solution:
As we know that f(x) = y
∴ y = f-1(x) ----------> (1)
Given f(x) = 4x
y = 4x
To find the inverse of the f(x), put y for all values of x and x for all values of y.
x = 4y
Divide both sides by 4.
x/4 = y
Using eq (1).
y = 1/ 4x or x / 4
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x
Summary:
The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
