Consider the function

f(x)=(9)/(x-3),

for

x>3

.\ (A) Find

f^(-1)(4)=

\ (B) Use Theorem 7, page 156 of the Stewart Essential Calculus textbook to find

(f^(-1))^(')(4)

\

(f^(-1))^(')(4)=

\ (C) Calculate

f^(-1)(x)

and state domain and range of

f^(-1)

.\ Use interval notation. If needed enter inf for

\\\\infty

or-inf for

-\\\\infty

.\

f^(-1)(x)=

\ Domain

=

\ Range

=

\ Calculate

(f^(-1))^(')(4)

from the formula for

f^(-1)(x)

and check that it agrees with the result of part (B)

Consider the function f(x)=x39 for x>3. (A) Find f1(4)= (B) Use Theorem 7, page 156 of the Stewart Essential Calculus textbook to find (f1)(4) (f1)(4)= (C) Calculate f1(x) and state domain and range of f1. Use interval notation. If needed enter inf for or -inf for . f1(x)= Domain = Range = Calculate (f1)(4) from the formula for f1(x) and check that it agrees with the result of part