Question

Find the inverse of the function.
g(x) = -2x-10

Answer 1

g⁻¹(x) = -1/2x - 5

Explanation:

Step 1: Define function

g(x) = -2x - 10

y = -2x - 10

Step 2: Find g⁻¹(x)

x = -2y - 10

0 = -2y - x - 10

2y = -x - 10

y = -1/2x - 5

Step 3: Rewrite

g⁻¹(x) = -1/2x - 5