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Find gofa n dfog wehn f: RvecR and g: Rv...

Find `gofa n dfog` wehn `f: RvecR` and `g: RvecR` are defined by `f(x)=2x+3` and`g(x)=x^2+5` `f(x)=2x+x^2` and`` `g(x)=x^3` `f(x)=x^2+8` and `g(x)=3x^3+1` `f(x)=8x^3` and `g(x)=x^(1//3)`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Find gofa n dfog wehn f: RvecR and g: RvecR are defined by f(x)=2x+...

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  2. Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(02 ,-4),(-3,-6),(...

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  3. Show that if f1a n df2 are one-one maps from RtoR , then the produ...

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  4. Give examples of two surjective function f1 and f2 from Z to Z such...

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  5. Given examples of two one-one functions f1a n df2 from R to R such ...

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  6. If f: A->B and g: B->C are onto functions show that gof is ...

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  7. Show that the logarithmic function f: R0+vecR given by f(x)=(log)a ...

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  8. If f: AvecBa n dg: BvecC are one-one functions, show that gof is on...

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  9. If f: R->R be the function defined by f(x)=4x^3+7, show that f is a ...

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  10. Let A={1,2,3}dot Write all one-one from A to itself.

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  11. Show that f: RvecR , given by f(x)=x-[x], is neither one-one nor on...

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  12. Suppose f1a n df2 are non-zero one-one functions from RtoRdot is (f1...

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

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

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  15. Let f: RvecR and g: RvecR be defined by f(x)=x^2 and g(x)=x+1. Show ...

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  16. Let R^+ be the set of all non-negative real numbers. if f: R^+ rar...

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  17. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  18. Let f: RrarrR and g: RrarrR be defined by f(x)=x+1 and g(x)=x-1....

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  19. Show that the exponential function f: R to R , given by f(x)=e^x , i...

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  20. Let A="{"-1,0,1")"a n df={(x , x^2): xA}dot Show that f: AvecA is neit...

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