Given the function f(x)=sqrt(x-1), complete parts a through c.
(a) Find an equation for f^(-1)(x).
(b) Graph f and f^(-1) in the same rectangular coordinate system.
(c) Use interval notation to give the domain and the range of f and f^(-1).
(Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power, (
oot(n)(y))^(n)=y.)
a) Find f^(-1)(x). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
A. f^(-1)(x)=,x>=
B. f^(-1)(x)=,x<=
C. f^(-1)(x)=, for all x
D. f^(-1)(x)=,x!=
b) Choose the correct graph below. Graph f and f^(-1) on the same coordinate system.
A.
B.
c) State the domain and range of f and f^(-1) using interval notation.
The domain of f(x) is and the range of f(x) is
The domain of f^(-1)(x) is and the range of f^(-1)(x) is
Given the function fx=x-1,complete parts a through c (aFind an equation for fx. bGraph f and fin the same rectangular coordinate system. c Use interval notation to give the domain and the range of f and f1 Hint To solve for a variable involving an nth root,raise both sides of the equation to the nth power./y=y
aFind fx.Select the correct choice below and fll in the answer boxes to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) OA.rx=x OB.fx=xs Oc.fx=for allx OD.rx=x b Choose the correct graph below.Graph f and f on the same coordinate system.
OA.
OB.
Oc.
OD
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Q
Q
cState the domain and range of f and fusing interval notation The domain of f(xisand the range of fxis The domain of f1xis and the range of fx is