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If the function f: RvecR be given by f(x...

If the function `f: RvecR` be given by `f(x)=x^2+2a n dg: RvecR` be given by `g(x)=x/(x-1)` . Find `foga n dgofdot`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Give examples of two one-one functions f1 and f2 from R to R such t...

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

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

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

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

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

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

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  8. Discuss the surjectivity of the following functions: f: R-> given by ...

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  9. Show that the function f: ZvecZ defined by f(x)=x^2+x for all x in Z ...

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  10. Let A be the set of all 50 students of class XII in a central school. ...

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  11. Show that the function f: RvecR defined by f(x)=3x^3+5 for all x in R...

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  12. Show that the function f: RvecR given by f(x)=cosxfora l lx in R , is...

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  13. Show that the function f: Rvec given by f(x)=x a+b , where a , b in R...

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  14. If f(x) = x/(sqrt(1+x^2) then fofof(x)

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  15. If f(x)=(3x-2)/(2x-3), prove that f(f(x)))=x for all x in R-{3/2} .

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

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  17. Let f: R-R be a function given by f(x)=a x+b for all x in R . Find th...

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  18. If f(x)=e^x and g(x)=(log)e x(x >0), find foga n dgofdot Is fog=gof?

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  19. If f:[0,oo)vecRa n dg: RvecR be defined as f(x)=sqrt(x) and g(x)=-x^2-...

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  20. Let f and g be real functions defined by f(x)=x/(x+1) a n d g(x)=1/(x...

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