Question

The function ƒ(x) = −x2 − 9 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.

Answer 1

yes

Answer 2

Do you know how to find an inverse function?

Answer 3

no

Answer 4

you may find the inverse function by switching the places of x and y and then solve for y like the following

\[x = -y^2 - 9\] solve for y
\[\sqrt{-x + 9} = f(^-1)\]

Answer 5

make sense so far?

Answer 6

where does the y go

Answer 7

y is the inverse but inverse symbol should be \[f^-1\]