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Consider the following function.

`f(x)=\sqrt(x-8),x>8`

What is the domain of

`f`

? (Enter your answer using interval notation.) Is

`f`

continuous on this domain? Yes No Find

`f^(')(x)`

.

`f^(')(x)=(1)/(2\sqrt(x-8))`

Does

`f`

have an inverse function? Yes No Consider the real number

`a=3`

. For what value of

`x`

does

`f(x)=3`

? (If an answer does not exist, enter DNE.)

`x=`

Determine the value of

`f^(-1)(3)`

, if it exists. (If an answer does not exist, enter DNE.)

`f^(-1)(3)=`

Use the function

`f`

and the real number

`a=3`

to find

`(f^(-1))^(')(3)`

, if it exists. (If an answer does not exist, enter DNE.)

`(f^(-1))^(')(3)=`