How to Find the Inverse of a Function: Step-by-Step Guide with Example

How do you find the inverse of a function (c2)Ex. f(x) = 5x + 9 1. 2. 3.

To find the inverse of a function, you need to switch the roles of x and y and then solve for y

To find the inverse of a function, you need to switch the roles of x and y and then solve for y.

Given the function f(x) = 5x + 9, let’s find its inverse:

1. Replace f(x) with y:
y = 5x + 9

2. Switch the roles of x and y:
x = 5y + 9

3. Solve for y:
x – 9 = 5y
(x – 9)/5 = y

Therefore, the inverse of the function f(x) = 5x + 9 is f^(-1)(x) = (x – 9)/5.

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