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.
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