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A function f: R->R is defined as f(x)=x^...

A function `f: R->R` is defined as `f(x)=x^3+4` . Is it a bijection or not? In case it is a bijection, find `f^(-1)(3)` .

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Consider f: R+->[-5,oo)given by f(x)=9x^2+6x-5. Show that f is inverti...

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  2. If f: R->R be defined by f(x)=x^3-3 , then prove that f^(-1) exists an...

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  3. A function f: R->R is defined as f(x)=x^3+4 . Is it a bijection or not...

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  4. If f: Q->Q ,\ \ g: Q->Q are two functions defined by f(x)=2x and g(x)=...

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  5. Let A=R-{3}a n dB=R-{1}dot Consider the function f: Avec defined by f(...

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  6. Consider f:R+->[-9,oo[ given by f(x)=5x^2+6x-9. Prove that f is invert...

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  7. Let f: Nvec be a function defined as f(x)=9x^2+6x-5. Show that f: Nvec...

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  8. If f: Rvec(-1,1) defined by f(x)=(10^x-10^(-x))/(10^x+10^(-x)) is inve...

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  9. If f: R->(0,\ 2) defined by f(x)=(e^x-e^(-x))/(e^x+e^(-x))+1 is invert...

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  10. Let f:[-1,oo]vec[-1,) is given by f(x)=(x+1)^2-1,xgeq-1. Show that f i...

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  11. Let A={x in R|-1lt=xlt=1} and let f: A->A ,\ g: A->A be two functions...

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  12. Let f be a function from R to R such that f(x)=cos(x+2) . Is f inverti...

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  14. Let A and B be two sets each with a finite number of elements. Assume ...

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  15. If f: AvecA ,g: Avec are two bijections, then prove that fog is an inj...

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  16. If f: A->A ,\ \ g: A->A are two bijections, then prove that fog is an ...

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  17. Which one of the following graphs represent a function? (FIGURE)

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  18. Which one of the following graphs represent a one-one function? (FI...

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  19. Let A={1,\ 2} and B={a ,\ b} be two sets. Write total number of one-...

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  20. Write total number of one-one functions from set A={1,\ 2,\ 3,\ 4} ...

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