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Let f be any real function and let g ...

Let `f` be any real function and let `g` be a function given by `g(x)=2x` . Prove that `gof=f+f` .

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f(x)=sinx and g(x)=2x be two real functions, then describe gof a...

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  2. Let f,\ g,\ h be real functions given by f(x)=sinx , g(x)=2x and h(...

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  3. Let f be any real function and let g be a function given by g(x)=2x...

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  4. If f(x)=sqrt(1-x) and g(x)=(log)e x are two real functions, then de...

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  5. If f:(-pi//2,pi//2)->R and g:[-1,\ 1]->R be defined as f(x)=tanx and g...

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  6. If f(x)=sqrt(x+3) and g(x)=x^2+1 be two real functions, then find f...

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  7. Let f be a real function given by f(x)=sqrt(x-2) . Find fofdot Also...

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  8. Let f(x)=1+x, 0 leq x leq 2 and f(x)=3−x,2 lt x leq 3. Find f(f(x)).

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  9. If f, g,: R- R be two functions defined as f(x)=|x|+x and g(x)=|x|-x...

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  10. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(9)

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  11. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(5)

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  12. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(0)

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  13. If the function f: R->R be defined by f(x)=x^2+5x+9 , find f^(-1)(8) a...

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  14. If the function f: C->C be defined by f(x)=x^2-1 , find f^(-1)(-5) and...

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  15. Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

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  16. If A={1,\ 2,\ 3,\ 4} , B={2,\ 4,\ 6,\ 8} and f: A->B is given by f(x)=...

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  17. Let S = {1, 2, 3}. Determine whether the functions f : S->Sdefined as ...

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  18. Consider f : {1, 2, 3}->{a , b , c}given by f(1) = a, f(2) = band f(3)...

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  19. If f:R-R is defined by f(x)=2x+7. Prove that f is a bijection. Also,...

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  20. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

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