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Let f: RvecR and g: RvecR be defined by ...

Let `f: RvecR` and `g: RvecR` be defined by `f(x)=x^2` and `g(x)=x+1.` Show that `fog!=gofdot`

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Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and g ={(1,\ 3),\ (3,\ 3),\ (4,\...

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

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

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

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

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

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

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  12. Let A be any non-empty set. Then, prove that the identity function on ...

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  13. Let A=R-[2] \ a n d \ B=R-[1]. If f: A->B is a mapping defined by f(x)...

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  14. Show that if f1a n df1 are one-one maps from RtoR , then the pro...

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  15. Give examples of two one-one functions f1 and f2 from R to R such t...

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

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  17. If the function f: RvecR be given by f(x)=x^2+2a n dg: RvecR be given ...

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  18. If the function fa n dg are given by f={(1,2),(3,5),(4,1)}a n dg="("(2...

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  19. Suppose f1a n df2 are non=zero one-one functions from RtoRdot is (f...

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  20. Find whether the following functions are one-one or not: f: Rvecgi...

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