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Let f: XtoY be a function defined by f(x...

Let `f: XtoY` be a function defined by `f(x) =asin(x+(pi)/4) + bcosx + c.` If f is both one-one and onto, find set X and Y.

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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (SUBJECTIVE) Level-II
  1. Let f : {x,y, z} to {a, b, c} be a one-one function. If it is known th...

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  2. Let S be the set of non-negative integers. A function f: S to S is suc...

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  3. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

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  4. Consider two functions, f(x) and g(x) defined as under: f(x)={1+x^3,x ...

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  5. If the functions f and g defined from the set of real number R to R su...

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  6. If the functions f, g and h are defined from the set of real numbers R...

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  7. Let f(x)=2cos^2x+sqrt(3)*sin2x+1. Then, its domain and range, so that ...

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  8. Let f: XtoY be a function defined by f(x) =asin(x+(pi)/4) + bcosx + c....

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  9. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

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  10. Solve the following equations x^(2)-3-{x}=0 where [x] denotes the ...

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  11. Consider a real-valued function f(x) satisfying 2f(x y)=(f(x))^y+(f(y)...

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  12. If f(x) satisfies the relation, f(x+y)=f(x)+f(y) for all x,y in R and ...

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  13. Let f be a function from be set of positive integers to the set of rea...

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  14. Let f be a function from be set of positive integers to the set of rea...

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  15. If the range of the function f(x)=(x-1)/(p-x^2+1) does not contain any...

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  16. Let f :[1/2,oo)rarr[3/4,oo), where f(x)=x^2-x+1. Find the inverse of f...

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  17. Let f(x) be a function such that : f(x - 1) + f(x + 1) = sqrt3 f(x), f...

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