Question

Which function below is the inverse of f(x) = x2 − 16?

x squared over 16

±4square root of x

±square root of the quantity x plus 16

1 over quantity x squared minus 16

Answer 1

`f(x) = x^(2) - 16`

`y = x^(2) - 16`

`x = y^(2) - 16`

`x + 16 = y^(2)`

`\±√(x + 16) = \sqrt{y^(2)}`

`\±√(x + 16) = y`

`\±√(x + 16) = f^(-1)(x)`