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If f(x)={{:(x^(2),xle0),(x,xgt0):} and g...

If `f(x)={{:(x^(2),xle0),(x,xgt0):}` and `g(x)=-absx,x inR,` then find fog and gof.

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FIITJEE-FUNCTION-EXERCISES
  1. Find the domain of the function f(x)=3/([x/2])-5^(cos^(-1)x^(2))+( (2x...

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  2. Let f(x)=abs(sinx),0lexlepi and g(x)=abs(cosx)-pi//2lexlepi//2. Find f...

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  3. If f(x)={{:(x^(2),xle0),(x,xgt0):} and g(x)=-absx,x inR, then find fog...

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  4. State the following function is one-one or not and why? f:RtoR defin...

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  5. State which of the following functions are one-one and why? f:R^(+)t...

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  6. State which of the following functions are one-one and why? f:R.{1}t...

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  7. State which of the following function are onto and why? f:RtoR defin...

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  8. State which of the following function are onto and why? f:R^(+)toR d...

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  9. State which of the following function are onto and why? f:RtoR defi...

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  10. Is the function f:RtoR defined f(x)=cos(2x+1) invertible? Give reasons...

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  11. Show that if f: A to B and g: B to C are onto, then gof : A to C is al...

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  12. Find the even extension of f(x) = {x^2-x^3,0 <= x < 3 4-x,x >= 3

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  13. Is the function f(x)={{:("{x}",xge0),("{-x}",xlt0):} (where {.} denote...

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  14. Find period of following functions (if existsI) f(x)=sin3x+tan7x

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  15. Find period of following functions (if existsI) f(x)=x-[x]+cos(pix)

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  16. Is the function f(x)=sqrt(sinx) periodic?

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  17. sin alphax+cos alphax " and " abs(cosx)+abs(sinx) are periodic functio...

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  18. Draw the graphs of the following function f(x)=sinabsxxin[-2pi,2pi]

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  19. Draw the graphs of the following function abs(f(x))=cosx xin[-2pi,2p...

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  20. Draw the graphs of the following function abs(f(x))=2+sinx x in[0,2p...

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