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If `fa n dg`are one-one functions, then`f+g`is one one`fg`is one one`fog`is one one`non eoft h e s e`A. `f+g` is one-oneB. `fg` is one-oneC. `fog` is one-oneD. None of these |
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Answer» Correct Answer - C (a) `f(x)=sinx and g(x)=cosx, x in [0, pi//2]` Here, both f(x) and g(x) are one-one functions. But `h(x)=f(x)+g(x)=sinx+cosx` is many-one as ` h(0)=h(pi//2)=1.` (b) `h(x)=f(x) g(x)=sinx cosx=(sin 2x)/(2)` is many-one, as `h(0)=h(pi//2)=0.` (c) It is a fundamental property. |
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