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If a function `f:[2,\ oo)->R` defined by `f(x)=(x-1)(x-2)(x-3)` is (a) one-one but not onto (b) onto but not one-one (c) both one and onto (d) neither one-one nor onto

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f: R->R is defined by f(x)=(e^x^2-e^-x^2)/(e^x^2+e^-x^2) is (a) one-one but not onto (b) many-one but onto (c) one-one and onto (d) neither one-one nor onto

The function f:[0,3]->[1,29] , defined by f(x)=2x^3−15x^2+36x+1 , is (a) one-one and onto (b) onto but not one-one (c) one-one but not onto (d) neither one-one nor onto

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

The function f:R rarr R defined as f(x)=(3x^2+3x-4)/(3+3x-4x^2) is : (a) One to one but not onto (b) Onto but not one to one (c) Both one to one and onto (d)Neither one to one nor onto

Let f: R->R be a function defined by f(x)=(x^2-8)/(x^2+2) . Then, f is (a) one-one but not onto (b) one-one and onto (c) onto but not one-one (d) neither one-one nor onto

The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both one-one and onto (b) not one-one, but onto (c) one-one, but not onto (d) neither one-one, nor onto

If f:[0,oo)->[0,oo) and f(x)=x/(1+x), then f(x) is (a) one-one and onto (b)one-one but not onto (c)onto but not one-one (d)neither on-one nor onto

The function f:[0,3]vec[1, 29], defined by f(x)=2x^3-15 x^2+36 x+1, is one-one and onto onto but not one-one one-one but not onto neither one-one nor onto

Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=b , then (a) f is one-one but not onto (b) f is onto but not one-one (c) f is both one-one and onto (d) none of these

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

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. 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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  2. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

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

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

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

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

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  7. Let f: R->R be a function defined by f(x)=(x^2-8)/(x^2+2) . Then, f is...

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  8. f: R->R is defined by f(x)=(e^x^2-e^-x^2)/(e^x^2+e^-x^2) is (a) one-on...

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  9. The function f: R->R , f(x)=x^2 is (a) injective but not surjective (b...

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

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

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

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

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

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

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

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  18. If the function f:(1,oo) vec (1,oo) is defined by f(x)=2^(x(x-1)),t h ...

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  19. Let A={x in R : xlt=1} and f: A->A be defined as f(x)=x(2-x). Then, f...

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  20. Let f(x)=1/(1-x) . Then, {f\ o\ (f\ o\ f)}(x)=(a) x for all x in R...

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