Questions
The domain of the function Then, a is equal to
a
172+1
b
17−12
c
1+172
d
172
detailed solution
Correct option is C
Given function, f(x)=sin−1|x|+5x2+1For, domain of 'f'|x|+5x2+1≤1, as |x|+5x2+1>0∀x∈R ⇒|x|+5≤x2+1 as x2+1 ispositive ∀x∈R ⇒x2−|x|−4≥0 ⇒|x|2−|x|−4≥0 ∵∀x∈R,x2=|x|2 … (i) ∵ For |x|2−|x|−4=0⇒|x|=1±1+162 ⇒|x|=1±172⇒|x|=1+172 as |x|≥0 ∴|x|≥17+12 ⇒x∈−∞,−17+12∪17+12,∞ ∴a=17+12Talk to our academic expert!
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