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

Question

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

netlopes1 · Answer

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

netlopes1 · Answer

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

netlopes1 · Answer

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

anonymous · Answer

Thank you

netlopes1 · Answer

you are welcome