What is the Inverse of the Function f(x) = 2x - 10?

Solution:

We will be using the inverse function to solve this.

f(x) = 2x - 10

Replace f(x) with y.

y = 2x - 10

Interchange x and y

x = 2y - 10

Solve for y

y = (x + 10) / 2

Replace y with f^-1(x).

f^-1(x) = x/2 + 5 

Thus, the inverse of the function f(x) = 2x - 10 is f^-1(x) = x/2 + 5 

What is the Inverse of the Function f(x) = 2x - 10?

Summary:

The inverse of the function f(x) = 2x - 10 is f^-1(x) = x/2 + 5