Question

HELP! Im studying for finals!!! find y=f^-1(x) if f(x)=5-2x^2, x>0

Answer 1

\[f^-1(x)=\sqrt{x-5}/-2\] is this the right answer?

Answer 2

the -2 should be under the root, you should have

\[\Large f^{-1}(x) = \sqrt{\frac{x-5}{-2}}\]

which simplifies to

\[\Large f^{-1}(x) = \sqrt{\frac{5-x}{2}}\]

Answer 3

the reason why is because you apply the square root after you divide by -2