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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
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