Solved

Restrict the Domain of the Function F So That the Function

Question 54

Multiple Choice

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) f1(x) =x5f ^ { - 1 } ( x ) = \sqrt { x } - 5 ?
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) f1(x) =x+5f ^ { - 1 } ( x ) = \sqrt { x } + 5 ?
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) f1(x) =x+5f ^ { - 1 } ( x ) = \sqrt { x } + 5 ?
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) f1(x) =x+5f ^ { - 1 } ( x ) = \sqrt { x } + 5 ?
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.
E) f1(x) =x5f ^ { - 1 } ( x ) = \sqrt { x } - 5 ?
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.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions