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- July 19, 2021 at 7:10 pm #10289
Which equation is the inverse of y = 9x^2 – 4?

July 19, 2021 at 7:13 pm #10294::**Answer:**y = ± [ √(x+4) ] / 3**Solution:**1) To find the inverse of the function y = 9x

^{2}– 4,*exchange the variables x and y*, and then solve for the new y.2) Exchange of the variables: y = 9x

^{2}– 4 → x = 9y^{2}– 43) Solve for y:

=> 9y^{2}= x + 4

=> y^{2}= [x + 4] / 9

**=> y = ± [ √(x + 4) ] / 3**- This reply was modified 2 years, 8 months ago by ProtonsTalk.
- This reply was modified 2 years, 8 months ago by ProtonsTalk.

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