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Which of the following functions from...

Which of the following functions from `A={x in R :-1lt=xlt=1}` to itself are bijections? `f(x)=|x|` (b) `f(x)=sin(pix)/2` (c) `f(x)=sin(pix)/4` (d) none of these

A

`f(x)=(|x|)/(2)`

B

`g(x)=sin ((pi x)/(2))`

C

`h(x)=|x|`

D

`k(x)=x^(2)`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. Let f(x) be defined on [-2,2] and be given by f(x)={(-1",",-2 le x l...

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  2. Which of the following function from Z to itself are bijections? f(x)=...

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  3. Which of the following functions from A={x in R :-1lt=xlt=1} to it...

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  4. If f:RtoR is a function defined by f(x)=x^(3)+5 then f^(-1)(x) is

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  5. Let f : A to B and g : B to C be the bijective functions. Then (g of ...

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  6. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

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  7. Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

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  8. Let f:N->N be defined by f(x)=x^2+x+1,x in N. Then f(x) is

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  9. Let A={-1 le x le 1} and f:A to A such that f(x)=x|x| then f is:

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  10. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

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  11. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

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  12. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

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  13. Which of the following functions is the inverse of itself? (a) f(x)=(1...

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  14. If f(x) =(x-1)/(x+1)," then f(2x) is:"

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  15. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  16. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

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  17. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

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  18. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  19. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  20. Which of the following functions is not an are not an injective map(s)...

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