Question

Which equation is the inverse of y=100-x2

Answer 1

A on edge

Explanation:

Answer 2

Inverse of y =
`f^(-1)(x)` =
`√(100 -x)`.

Explanation:

Given : f(x) = y = 100 - x²

To find : Find inverse.

Solution : We have given that :

f(x) = y = 100 - x²

Step1) : Replace every x with a y and replace every y with an x .

x = 100 - y².

Step 2): Solve for y

On subtracting 100 from both sides

x - 100 = -y²

On multiplying both side by -1

100 -x = y²

Taking square root both sides and switching sides

y = ±
`√(100-x)`.

Step3 ) : Replace y with
`f^(-1)(x)`.

`f^(-1)(x)` = ±
`√(100-x)`.

Therefore, inverse of y =
`f^(-1)(x)` = ±
`√(100-x)`.