Questions
The domain of the function
a
(−∞,−3)∪(3,∞)
b
[−3, 3]
c
(−∞,−3]∪[3,∞)
d
ϕ
detailed solution
Correct option is B
cos−11−|x|2 is defined if −1≤1−|x|2≤1 ⇒ −2≤1−|x|≤2⇒−3≤−|x|≤1⇒ −1≤|x|≤3|x| ≥ – 1 is true for all real values of x. Also cos−11−|x|2 is defined if cos−11−|x|2≥0 ⇒1−|x|2≥cos0=1⇒1−|x|≥2⇒|x|≤−1 (Absurd) Domain ( f ) = [– 3, 3]Talk to our academic expert!
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