What percent of domain of the function f(x)=√9−x2.log(9−[2x+5]) consists of all positive numbers. Where [.] denotes greatest integer function
A
40%
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B
50%
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C
30%
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D
65%
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Solution
The correct option is A40% 9−x2≥0⇒x∈[−3,3] & 9−[2x+5]>0⇒[2x+5]<9 ⇒[2x+5]≤8⇒2x+5<9⇒x<2 Hence domain of f(x) is x∈[−3,2) % of domain that is positive is 25×100=40%