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    Which equation is the inverse of y = 9x^2 – 4?

    #10294
    shilpav
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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

      • 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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