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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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- Period of f(x) = sgn([x] +[-x])is equal to (where [.] denotes greatest...
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- A function f: R -> R satisfies the equation f(x)f(y)-f(x y)=x+yAAx ,y ...
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- (f(x y))^2=x(f(y))^2:f(2)=6 A function f: R+ ? R+ defined as Then f(10...
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- Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 ...
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- If a function f: R ->R be such that f(x-f(y)) = f(f(y) )+xf(y)+f(x)...
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- If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R then f(-3) + f(9) -5f(1)= ? ...
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- Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...
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- Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx be an even fun...
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- f(x)=sin^2x+cos^4x+2 and g(x)=cos(cosx)+cos(sinx) Also let period f(x)...
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- A continuous, even periodic function f with period 8 is such that f(0)...
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- If a and b are natural numbers and f(x)=sin(sqrt(a^2-3))x+cos(sqrt(b^2...
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- What is the fundamental period of f(x) = (sin x+ sin 3x)/(cos x+ cos ...
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