[Q.1 ] Find the domain of f(x)=((⌊cos^(−1) (x^4 )⌋+∣⌊x−2tan^(−1) (x)⌋∣+(√(sin(lnx))))/({3x^2 −7}+a^(√(sin(x)+3cos(x))) +ln cos((1/( (√(−x^2 ))))))) where {x} reprents the fractionare part of x: A) ]−2, (√2)[ B) ]0,2[ C) ]−1, 1 [ D) ]−2, −(√2) Explanation please!


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Question Number 115022 by dw last updated on 23/Sep/20
$[Q.1 ] Find the domain of f(x)=((⌊cos^(−1) (x^4 )⌋+∣⌊x−2tan^(−1) (x)⌋∣+(√(sin(lnx))))/({3x^2 −7}+a^(√(sin(x)+3cos(x))) +ln cos((1/( (√(−x^2 ))))))) where {x} reprents the fractionare part of x: A) ]−2, (√2)[ B) ]0,2[ C) ]−1, 1 [ D) ]−2, −(√2) Explanation please!$
$[Q . 1] F i n d t h e d o m a i n o f$ $f (x) = \frac{⌊ {c o s}^{- 1} (x^{4}) ⌋ + ∣ ⌊ x - 2 {t a n}^{- 1} (x) ⌋ ∣ + \sqrt{s i n (l n x)}}{{3 x^{2} - 7} + a^{\sqrt{s i n (x) + 3 c o s (x)}} + l n c o s (\frac{1}{\sqrt{- x^{2}}})}$ $w h e r e {x} r e p r e n t s t h e f r a c t i o n a r e p a r t o f x :$ $A)] - 2, \sqrt{2} [B)] 0, 2 [C)] - 1, 1 [D)] - 2, - \sqrt{2}$ $E x p l a n a t i o n p l e a s e!$
	Answered by Olaf last updated on 23/Sep/20

	$impossible!$ $\frac{1}{\sqrt{- x^{2}}} is not defined \forall x \in R$
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