Questions
a
1,∞
b
-∞,1
c
1,∞
d
−∞,1
detailed solution
Correct option is A
f(x)=log0.4x−1x+5exists iflog0.4x−1x+5≥0 and x−1x+5>0⇒ x−1x+5≤(0.4)0 and x−1x+5>0⇒x−1x+5≤1 and x−1x+5>0⇒ x−1x+5−1≤0 and x−1x+5>0⇒ −6x+5≤0 and x−1x+5>0⇒ x+5>0 and x−1x+5>0⇒ x>−5 and x−1>0( As x+5>0) or x>−5 and x>1 Thus, the domain f(x) is (1,∞) .Talk to our academic expert!
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