Question

Which equation is the inverse of. y = 100 – x2?

Please explain

Answer 1

In order to find the inverse equation, we need to first switch the x and y portions of the formula. Since we are presented with what y is equal to, we will then just solve for y again after the inverse is applied. So, switching the letters results in x = 100 - y2. Now solve for y. First, apply (-x) and (-y2) to each side. This results in y2 = 100 - x. To get rid of the square, apply the square root to each side. This results in the answer: y = 10 - sqrt(x), where sqrt is square root (something not available on the keyboard).

Answer 2

`y =√( 100-x)`

Explanation:

Given :
`y = 100-x^2`

To Find: inverse

Solution:

`y = 100-x^2`

Replace x with y and y with x

`x = 100-y^2`

Now find the value of y

`y^2 = 100-x`

`y =√( 100-x)`

Thus the inverse is
`y =√( 100-x)`

Hence the inverse of
`y = 100-x^2` is
`y =√( 100-x)`