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)=