Question

What is the inverse of the given function? y = 7x2 -­ 3.

Answer 1

y = ± √x + 3/7 is the answer 100% sure

Answer 2

The inverse function is y =
`\sqrt{(x + 3)/(7)}`.

You can find the inverse of any function by switching the x and y value. After doing so, you can solve for the new y. The result will be your inverse function. The step-by-step process for this one is below.

y = 7x^2 - 3 ----> Switch x and y

x = 7y^2 - 3 ----> Add 3 to both sides.

x + 3 = 7y^2 -----> Divide both sides by 7

`(x + 3)/(7)` = y^2 ----> Take the square root of both sides

`\sqrt{(x + 3)/(7)}` = y ---> Now switch the order so it is in a proper format.

y =
`\sqrt{(x + 3)/(7)}`