What is the inverse of the function f(x) =(x/9) + 2?

Solution:

Given f(x) = (x/9) + 2

A function is defined as a relationship between one variable (the independent variable) and another variable (the dependent variable)

Let y = f(x)

y = z (x/9) + 2 ⇒ y - 2 = x/9

x = 9(y - 2)

We need to swap the x,y to get the inverse of f(x)

y = 9(x - 2)

This is in terms of y, so we can write x = f(y)

Hence, y = f^-1(x) = 9(x - 2)

Therefore, the inverse of the given function is 9(x - 2)

What is the inverse of the function f(x) = (x/9) + 2?

Summary:

The inverse of the function f(x) = (x/9) + 2 is 9(x - 2).