Restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f-1. State the domains and ranges of f and f-1.
?
f(x) = (x - 5)2
?
A.
?
The domain of f and the range of f-1 are all real numbers x such that x ? 5.
The domain of f-1 and the range of f are all real numbers x such that x ? 0.
B.
?
The domain of f and the range of f-1 are all real numbers x such that x ? 0.
The domain of f-1 and the range of f are all real numbers x such that x ? -5.
C.
?
The domain of f and the range of f-1 are all real numbers x such that x ? 5.
The domain of f-1 and the range of f are all real numbers x such that x ? 0.
D.
?
The domain of f and the range of f-1 are all real numbers x such that x ? 0.
The domain off-1 and the range offare all real numbersxsuch thatx ? 5.
E.
?
The domain of f and the range of f-1 are all real numbers x such that x ? -5.
The domain of f-1 and the range of f are all real numbers x such that x ? 0.
Answer: C
You might also like to view...
Find the value of the combination.C(6, 4)
A. 30 B. 15 C. 180 D. 4
An arithmetic sequence is given. Find the common difference and write out the first four terms.{11 - 6n}
A. d = 6; 5, 11 , 17 , 23 B. d = -6; 5, 1 , -5 , -11 C. d = -6; 5, -1, -7, -13 D. d = -6; -6, -12, -18, -24
Fill in the blank with one of the words or phrases listed below.The
method may be used when multiplying two binomials.
A. term B. coefficient C. FOIL D. degree of a term
Solve the problem.Suppose the supply function of a certain item is given by and the demand function is given by D(q) = 14 - q2. Find the producers' surplus.
A. 16
B. 8
C.
D.