Question

If y=3x²-9 what is its inverse?

a. y⁻¹=-√ (x+9)/3 such that x<0
b. y⁻¹=-√(x+9)/3 such that x>0
c. y⁻¹=-√ (x/3) +9 such that x<0
d. y⁻¹=-√ (x/3) +9 such that x>0

Answer 1

The inverse of the function y=3x²-9 is y⁻¹=±√((x+9)/3).

Step-by-step explanation:

To find the inverse of the function y=3x²-9, we need to switch the positions of x and y and solve for the new y. The steps are as follows:

1. Replace y with x and x with y: x=3y²-9
2. Swap x and y: y=3x²-9
3. Solve for y: y=±√((x+9)/3)

Therefore, the inverse of y=3x²-9 is y⁻¹=±√((x+9)/3).