Question

Which equation can be simplified to find the inverse of y = x2 – 7?

Answer 1

To find the inverse, interchange the variables and solve for y.
f^-1(x) = sqrt 7+x, - sqrt 7+x

Answer 2

The inverse of equation
`y=x^(2)-7` is
`√(y + 7)`

Explanation:

We need to find the inverse of of function
`y=x^(2)-7`

`f(x)=y=x^(2)-7`

To find inverse , write function in term of 'y'

Add both the sides by 7,

`y + 7 = x^(2)`

Take root both the sides, in above expression

`√(y + 7) = x`

Hence, the inverse of equation
`y=x^(2)-7` is
`√(y + 7)`