If $$f(x)=1(x+1)ex$$−$$1(x$$−$$4)(x+5)(x$$−$$6)$$, then the domain of $$f(x)$$ is

Correct option is 3(−5,−1)∪(0,4)∪(6,∞)

Questions

$If f (x) = \frac{1}{\sqrt{(x + 1) (e^{x} - 1) (x - 4) (x + 5) (x - 6)}}, then the domain of f (x) is$

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(−∞,−5)∪(−1,4)∪(6,∞)

(−∞,−5)∪(−1,0)∪(0,4)∪(6,∞)

(−5,−1)∪(0,4)∪(6,∞)

None of these

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detailed solution

Correct option is C

fx is defined if x+1ex-1x-4x+5x-8>0 hence , x∈-5,-1∪0,4∪6,∞ roots of the given expression are -1,0,4,-5,8

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If f(x)=1(x+1)ex−1(x−4)(x+5)(x−6), then the domain of f(x) is

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$If f (x) = \frac{1}{\sqrt{(x + 1) (e^{x} - 1) (x - 4) (x + 5) (x - 6)}}, then the domain of f (x) is$