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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

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RD SHARMA ENGLISH-FUNCTION-All Questions
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  2. A function f from the set of natural numbers to integers defined by...

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

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  4. Let f: Z->Z be given by f(x)={x/2,\ if\ x\ i s\ e v e n,0,\ if\ x\ i s...

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  5. The function f: R->R defined by f(x)=6^x+6^(|x|) is (a) one-one and on...

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  6. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation fo...

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  7. If f(x)=3x-5, then f^(-1)(x) (a) is given by 1/((3x-5)) (b) is given...

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  8. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then (a).f(x)=sin^2x ,g...

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  9. The inverse of the function f: Rvec{x in R : x<1} given by f(x)=(e^x-...

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  14. If F :[1,oo)vec[2,oo) is given by f(x)=x+1/x ,t h e nf^(-1)(x) equals....

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  15. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

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  16. Let f(x)=(alphax)/((x+1)),x!=-1. for what value of alpha is f(f(x))=x ...

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  17. The distinct linear functions which map [-1, 1] onto [0, 2] are f(x...

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  18. If f :[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^-1(x)

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  19. If f: Rvec(-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) e...

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  20. Let [x] denote the greatest integer less than or equal to x . If f(x...

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