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Let `f: R-{n}->R` be a function defined by `f(x)=(x-m)/(x-n)` such that `m!=n` 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto function then

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=sin^(-...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the function f: R->R be such that f(x) = x-[x], where [x] denotes t...

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  19. 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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  20. 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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