What is the inverse of the function f(x) = 2x - 10?

f⁻¹(x) = (x + 10)/2

General Formulas and Concepts:

Algebra I

Equality PropertiesInverse Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 10

Step 2: Rewrite

Redefine:                          y = 2x - 10Swap x/y:                          x = 2y - 10

Step 3: Find Inverse

Solve for the new y.

Add 10 to both sides:                    x + 10 = 2yDivide 2 on both sides:                (x + 10)/2 = yRewrite:                                          y = (x + 10)/2Redefine:                                       f⁻¹(x) = (x + 10)/2