Answer: y = ± [ √(x+4) ] / 3

Solution:

1) To find the inverse of the function y = 9x² – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x² – 4 → x = 9y² – 4

3) Solve for y:
=> 9y² = x + 4
=> y² = [x + 4] / 9
=> y = ± [ √(x + 4) ] / 3

• This reply was modified 2 years, 11 months ago by ProtonsTalk.
• This reply was modified 2 years, 11 months ago by ProtonsTalk.