Questions
The domain of the function
a
[– 6, 3)\{2}
b
[– 6, 2) ∪ (2, 3]
c
[– 6, 3]
d
[– 6, 3)
detailed solution
Correct option is A
cos−12−|x|4 is defined for −1≤2−|x|4≤1 ⇒−4≤2−|x|≤4⇒−6≤−|x|≤2⇒−2≤|x|≤6⇒|x|≤6⇒−6≤x≤6 ....(1)1log(3−x) is defined if log (3 – x) ≠ 0 and 3 – x > 0⇒3−x≠e0=1 and x<3⇒x≠2 and x<3From Eq. (1) and (2), we get domain of f= [– 6, 6] ∩ ((– ∞, 3) \ {2}) = [– 6, 3)\{2}.Talk to our academic expert!
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