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Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,...

Let `f:{1,\ 3,4\ }->{1,\ 2,\ 5}` and `g:{1,\ 2,\ 5}->{1,\ 3}` be given by `f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)}` and `g={(1,\ 3),\ (2,\ 3),\ (5,\ 1)}` . Write down `gofdot`

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If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} , given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} and g={(2,\ 3),\ (5,\ 1),\ (1,\ 3)} , write fogdot

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let : R->R ; f(x)=sinx and g: R->R ; g(x)=x^2 find fog and gof .

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  2. Let f:{2,3,4,5}vec{3,4,5,9}a n dg:{3,4,5,9}vec{7, 11 , 15} be function...

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  3. Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} be given by ...

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  4. Find gof and fog , if f: R->R and g: R->R are given by f(x)=|x| and g(...

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  5. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

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  6. If the function f: R->R be given by f(x)=x^2+2 and g: R->R be given by...

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  7. If f: R-{7/5}->R-{3/5} be defined as f(x)=(3x+4)/(5x-7) and g: R-{3/5}...

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  8. Find the derivative of f(x) = x^2- 3x + 2.

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  9. If f,g: R -R are defined respectively by f(x)=x^2+3x+1,g(x)=2x-3, fi...

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  10. Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=IZ .

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  11. If f: Z->Z be defined by f(x)=2x for all x in Z . Find g: Z->Z such t...

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  12. Let f,\ g and h be functions from R to R . Show that (f+g)oh=foh+goh

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  13. Let f,\ g and h be functions from R to R . Show that (fog)oh=(foh)(goh...

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  14. Let f: R->R be the signum function defined as f(x)={1,\ x >0,\ \ \ \ 0...

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  15. Let A={x in R :0lt=xlt=1}dot If f: AvecA is defined by f(x)={x ,ifx i...

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  16. Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n...

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  17. If f: R->R be given by f(x)=sin^2x+sin^2(x+pi//3)+cosx\ cos(x+pi//3) f...

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  18. Let f: ZvecZ be defined by f(n)=3n for all n in Z and g: Zvec be defi...

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

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