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 - 9| + 1
?

A. f-1(x) =x+ 8The domain of f and the range of f-1 are all real numbers x such that x ? 9.The domain of f-1 and the range of f are all real numbers x such that x ? 1.
B. f-1(x) = x - 8The domain of f and the range of f-1 are all real numbers x such that x ? 9.The domain of f-1 and the range of f are all real numbers x such that x ? 1.
C. f-1(x) = -x - 8The domain of f and the range of f-1 are all real numbers x such that x ? 1.The domain of f-1 and the range of f are all real numbers x such that x ? -9.
D. f-1(x) = x + 8The domain of f and the range of f-1 are all real numbers x such that x ? -9.The domain of f-1 and the range of f are all real numbers x such that x ? 1.
E. f-1(x) = -x + 8The domain of f and the range of f-1 are all real numbers x such that x ? 1.The domain of f-1 and the range of f are all real numbers x such that x ? 9.


Answer: A

Mathematics

You might also like to view...

Write an equivalent double integral with the order of integration reversed.

A.
B.
C.
D.

Mathematics

Simplify.

A.
B. 1
C. 1 - a
D.  

Mathematics

Sketch a line passing through the point and having slope m.(0, 3), m = 

A.

B.

C.

D.

Mathematics

Factor the binomial completely.x4 - 81

A. (x2 - 9)(x2 - 9) B. (x2 + 9)(x2 + 9) C. (x2 + 9)(x + 3)(x - 3) D. prime

Mathematics