What is the inverse of this equation f(x) = 1/4(x+3)^2+2

y = √(4x - 8) - 3

Step-by-step explanation:

y = 1/4(x + 3)² + 2

To find the inverse, switch the places of the x and y.  

x = 1/4(y + 3)² + 2

Solve for y.

x - 2 = (1/4(y + 3)² + 2) - 2

x - 2 = 1/4(y + 3)²

4(x - 2) = 4(1/4(y + 3)²)

4x - 8 = (y + 3)²

√(4x - 8) = √((y + 3)²)

√(4x - 8) = y + 3

√(4x - 8) - 3 = (y + 3) - 3

√(4x - 8) - 3 = y

y = √(4x - 8) - 3

step-by-step explanation:

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.