If the domain of $$h(x)$$ is $$[0, 5]$$ then the number of integers in the domain of $$h(\log_{2}(x^{2} + 2x - 3))$$ is .....

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Assertion :If

[x]

denotes the integral part of

x

, then domain of the function

f (x) = g (x) + h (x)

, where

g (x) = \frac{\sqrt{3 - x}}{(x - 1) (x - 2) (x - 3)}

and

h (x) = {sin}^{- 1} [\frac{3 x - 2}{2}]

[0, 2) - {1}

Reason: Domain of

h (x)

[0, 2)

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The number of integers lying in the domain of the function

f (x) = \sqrt{{log}_{0.5} (\frac{5 - 2 x}{x})}

is-

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h (x) = ln (| 2 x - 9 |)

(- \infty, x) U (x, \infty)

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and

h (x) = f (g (x))

, then domain of

{sin}^{- 1} (h (h (h (h . . . . . h (x) . . . . .))))      n times

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