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Let f,g: R-R be two functions defined as...

Let `f,g: R-R` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x` , for all `x` Then find fog and gof.

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f: R->R be a function given by f(x)=a x+b for all x in R . Find t...

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  2. Let f: A->A be a function such that fof=f . Show that f is onto if and...

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

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  4. Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+3 and ...

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  5. Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+x^2 an...

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  6. Find fog(2) and gof(1) when: f: R rarr R ;f(x)=x^2+8 and g: R rarr ...

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  7. Find gof and fog when f: R->R and g: R->R is defined by f(x)=x and g(x...

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  8. Find gof and fog when f: R->R and g: R->R is defined by f(x)=x^2+2x-3 ...

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  9. Find gof and fog when f: R->R and g: R->R is defined by f(x)=8x^3 and ...

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  10. Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and g={(1,\ 3),\ (3,\ 3),\ (4,\ ...

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  11. Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(-2 ,-4),(-3,-6),(...

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  12. Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions f...

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  13. Find fog\ (2) and gof\ (1) when: f: R->R ; f(x)=x^2+8 and g: R->R ; g(...

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  14. Let R^+ be the set of all non-negative real numbers. If f: R^+\ ->R...

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  15. Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show tha...

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  16. Let f: R->R and g: R->R be defined by f(x)=x+1 and g(x)=x-1. Show th...

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  17. Verify assoiativity for the following three mappings : f: NvecZ0...

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  18. Consider f : N ->N, g : N ->Nand h : N ->Rdefined asf (x) = 2x, g (y) ...

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  19. Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such...

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  20. Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...

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