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If f, g,: R- R be two functions define...

If `f, g,: R- R` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x ,AAxR ,` Then find `fog` and `gofdot` Hence find `fog(-3),fog(5)` and `gof(-2)dot`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f be a real function given by f(x)=sqrt(x-2) . Find fofdot Also...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Let f: R->R be defined by f(x)=3x-7 . Show that f is invertible and he...

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  16. Show that f: R-[0]->R-[0] given by f(x)=3/x is invertible and it is in...

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  17. Let f: Nuu{0}->Nuu{0} be defined by f(n)={n+1,\ if\ n\ i s\ even\,\ \ ...

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  18. Prove that the function f: R->R defined as f(x)=2x-3 is invertible....

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  19. Show that the function f: R ->R is given by f(x)=1+x^2 is not invertib...

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  20. Show that f: R-{-1}->R-{1} given by f(x)=x/(x+1) is invertible. Also, ...

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