InterviewSolution
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InterviewSolution
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Let `f(x)=2x-sin x and g(x)=3sqrt(x)`. ThenA. range of gof is RB. gof is one-oneC. both f and g are one-oneD. both f and g are onto |
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Answer» Correct Answer - 1,2,3,4 f(X)=`2x -sin x or f(x)=2 - cos x gt 0 forall x` .Hence f(X) is strictly increasing .Hence the function is one in and onto `g(x)=x^(1//3)or g(x)=(1)/(3)x^(-2//3)gt0 forallx` Hence g(x) si strictly increasing and hence one one onto also gof is one-one `gof(x)=(2x-sin x )^(1//3)` has range R as the range of 32x - sin x is R. |
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