# 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

**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.

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