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PATHFINDER-FUNCTIONS-QUESTION BANK
- If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...
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- Find the range of f(x)=(x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty...
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- Find the domain of definition of the function f(x) = 1/sqrt(absx + x).
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- If f : RrarrR such that f(x) = x - [x], where [p] denotes the greatest...
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- Find the range of the function f(x) = x^2 + 1/(x^2 + 1).
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- Find the range of the function phi where phi(x) = cos^-1 (x^2/(1 + x^2...
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- Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...
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- Find the range of the function y = log3 (5 + 4x - x^2).
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- If f(x + y) = f(x) - f(y),forall x, y in R, then show that f(3) = f(1)
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- Find the range of the function f(x) = (e^x - e^-x).
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- Find the inverse function of the function f(x) = [4 - (x - 7)^3]^(1/5)...
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- If f(x) =e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x), then find th...
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- Find domain of the function f(x) = 2^sin^(-1)x + 1/sqrt(x - 2).
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- Prove that the domain of g(x) =cot^-1 x/sqrt(x^2 - [x]) , x in R is R ...
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- Find the range of the function y =1/(2 - cos 2x).
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- Find the range of the function y = log2 (sin x + cos x + 3sqrt2)/sqrt2
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- Find the value of x which f(x) = 1/sqrt(absx - x) is not defined.
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- Find the range of y=x/(1 + x^2)
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- If f(x) = cos(loge x), then find the value of f(x)cdot f(y) - 1/2[f(x/...
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- Find the domain of f(x) = sin^-1 [ log9(x^2/4)]
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