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Let f: RrarrR and g: RrarrR be two funct...

Let `f: RrarrR` and `g: RrarrR` be two functions such that `fog(x)=sinx^2 and gof(x)=sin^2x` Then, find `f(x) and g(x)dot`

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Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n d gof(x)= sin^2x dot Then, find f(x)a n dg(x)dot

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RD SHARMA ENGLISH-FUNCTION-All Questions
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  3. Let f: RrarrR and g: RrarrR be two functions such that fog(x)=sinx^2...

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  4. Let R be the set of real numbes. If f: RvecR ;f(x)=x^2 and g: RvecR ;g...

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  5. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

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  7. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

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  12. Let A={x in R :0lt=xlt=1}dot If f: A->A is defined by f(x)={(x ,, if ...

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  13. Let A=[-1,1]dot Then, discuss whether the following functions from A t...

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  14. Let R be a relation on the set A of ordered pairs of positive intege...

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  15. Let A be a finite set. If f: AvecA is an onto function, show that f is...

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  18. Let f: Nuu{0}->Nuu{0} be defined by f={(n+1 ,, ifn \ i s \ e v e n),(n...

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  20. Let A={1,2} . Find all one-to-one function from A to A.

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