The domain of fx-1-1- x - -1-5 where - G-I-F is

The correct options are C ( ∞, 7] D [7, ∞) ...

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The domain of...

Question

The domain of $f (x) = \frac{1}{\sqrt{1 [| x | - 1] | - 5}}$ (where [.] G.I.F) is

[- 7, 7]

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(- \infty, 7)

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(- \infty, - 7]

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[7, \infty)

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Solution

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f (x) = \frac{1}{\sqrt{| [| x | - 1] | - 5}}

x

f (x) = \frac{x^{2} - 3 x + 4}{x^{2} + 3 x + 4} t h e n r a n g e o f f (x) i s

f (x) = \sqrt{\frac{1 - 5^{x}}{7^{- x} - 7}}

f (x) = \sqrt{\frac{1 - 5^{x}}{7^{- x} - 7}}

f (x) = \sqrt{x - 1} + \sqrt{7 - x}

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