anonymous one year ago Which function below is the inverse of f(x) = x2 − 16? a) x squared over 16 b)±4square root of x c) ±square root of the quantity x plus 16 d) 1 over quantity x squared minus 16

1. netlopes1

Inverse function? Simply replace "x" with "y" and vice versa, like this:$f(x)=x^2 - 16 \quad or \quad y=x^2 - 16 \rightarrow reversing \rightarrow x=y^2-16$

2. netlopes1

Yet$y^2=x+16 \rightarrow \quad Two \quad functions \rightarrow y=\sqrt{x+16} \quad or \quad y= - \sqrt{x+16}$

3. netlopes1

Or simply$y= \pm \sqrt{x+16}$, answer "c", ok?

4. anonymous

Thank you

5. netlopes1

you are welcome