domain of f is (5,infiniti) and its range is (-infiniti,-3). determine the domain & range of f^(-1)?

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domain of f is (5,infiniti) and its range is (-infiniti,-3). determine the domain & range of f^(-1)?

2007-09-02 17:08:14 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

Hi,

If the domain of f is (5,∞) and its range is (-∞,-3). then the domain of f^(-1) is (-∞,-3) and its range is (5,∞).

Just like a set {(4,7), (8,-10) has an inverse of {(7,4), (-10,8)}, where the domains and ranges reverse, the domain and range of function f reverse for the inverse function.

I hope that helps!! :-)

2007-09-02 17:15:07 · answer #1 · answered by Pi R Squared 7 · 0⤊ 0⤋

Domain of the inverse function is (- infinity, -3)
Range of the inverse function is (5,infinity)

2007-09-02 17:18:00 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋

the domain of f = range of f^(-1)
the range of f = domain of f^(-1)

2007-09-02 17:13:15 · answer #3 · answered by eman 2 · 0⤊ 0⤋