How do you find the inverse of y equals 5x squared - 5?

Answer 1

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Answer 2

Reverse what is done:

......................... y = 5x2 - 5 ........ 5 subtracted last, so add 5:

⇒ ............... y + 5 = 5x2 ............. multiplied by 5, so divide by 5:

⇒ ...... (y + 5) ÷ 5 = x2 ............... squared, so take square root:

⇒ ±√((y + 5) ÷ 5) = x ................. √n refers to the positive root of n, so need ±

Thus:

y = 5x2 - 5 ⇒ x = ±√((y + 5)/5)