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The function f: R->R defined by f(x)=2^x...

The function `f: R->R` defined by `f(x)=2^x+2^(|x|)` is (a) one-one and onto (b) many-one and onto (c) one-one and into (d) many-one and into

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

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  2. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

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  3. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

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  4. Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...

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  5. The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...

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  6. Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...

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  7. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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  8. Let M be the set of all 2xx2 matrices with entries from the set R o...

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  9. The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and on...

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  10. The range of the function f(x)=\ ^(7-x)P(x-3) is (a) {1, 2, 3, 4, ...

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  11. A function f from the set of natural numbers to integers is defined by...

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  12. Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...

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

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  14. Let A=[-1,1]dot Then, discuss whether the following functions from A t...

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  15. Let A{x :-1lt=xlt=1}a n df: Avec such that f(x)=x|x|, then f is (a) bi...

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

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  17. If a function f:[2,\ oo)->R defined by f(x)=(x-1)(x-2)(x-3) is (a) one...

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  18. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=sin^(-...

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  19. Let f : R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(...

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  20. Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!...

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