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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
- The number of roots of x^2-2=[sinx],w h e r e[dot] stands for the grea...
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- Let f(x)=sqrt(|x|-{x})(w h e r e{dot} denotes the fractional part of ...
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- Let [x] represent the greatest integer less than or equal to x If [...
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- The period of the function f(x)=c^((sin^2x+sin^(2(x+pi/3))+cosxcos(x+p...
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- If f(x)a n dg(x) are periodic functions with periods 7 and 11, respect...
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- Find the range of the following function f(x)=sin^(-1)[x^2+1/2]+cos^(...
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- The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fraction...
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- If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then a) f(x)=sin^2x ,g...
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- Each question has four choices, a,b,c and d,out of which only one is ...
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- Let f(n)=1+1/2+1/3++1/ndot Then f(1)+f(2)+f(3)++f(n) is equal to (a)...
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- Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y...
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- If f: R→R ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) i...
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- Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...
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- Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...
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- If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA ...
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- If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the r...
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- A function f (x) is defined for all x in R and satisfies, f(x + y) = f...
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- If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...
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- If domain of f(x) is [1,3] , then the domain of f((log)2(x^2+3x-2))i s...
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- If f:R->R is a function satisfying the property f(x+1)+f(x+3) = 2 for ...
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