Given the function f(x) = 2x, find the value of f⁻¹(16).

The inverse of any function is nothing but replacing the value of x with y in the function and making the subject of formula for x.

Answer: The value of f⁻¹(16) is calculated to be 8.

Go through the step-by-step solution to understand the full process of calculating the inverse.

Explanation:

Given f(x) = 2x

Let f(x) = y

So, y = 2x

Now swap, x with y and make the subject of formula for y.

x = 2y

y = x / 2

Thus, f⁻¹(x) = x / 2

f⁻¹ (16) = 16 / 2

f⁻¹(16) = 8

Thus, the value of f⁻¹(16) is calculated to be 8.