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Range of f(x) = (sin^2x + sin x -1)/(sin...

Range of `f(x) = (sin^2x + sin x -1)/(sin^2x - sin x + 2)`

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PATHFINDER-FUNCTION-QUESTION BANK
  1. A function f : R rarr R is defined as f(x) = (alpha x^2 + 6x - 8 )/(al...

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  2. Find the domain of the following function : f(x) = sqrt(sin^(-1)(log...

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  3. Range of f(x) = (sin^2x + sin x -1)/(sin^2x - sin x + 2)

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  4. If p and q are positive integers, f is a function defined for positive...

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  5. Check whether the function defined f(x + lambda) = 1 + sqrt(2f(x) - f^...

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  6. Let f(x, y) be a periodic function satisfying the condition f(x, y) = ...

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  7. If f(x) = 2x + |x|, g(x) = 1/3(2x - |x|) and h(x) = f(g(x)), then find...

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  8. Find the domain and range of h(x) = g(f(x), where f(x) = {([x], -2l...

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  9. Determine all functions f : R rarr R satisfying f(x-f(y)) = f(f(y)) + ...

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  10. Let R rarr f(x) = x^3 + ax^2 + bx + c sin x, a, b, c in R Find the con...

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  11. If f(x) satisfies the relation f(x + y) = f(x) + f(y) AA x,y in R and...

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  12. In the function f(x) is defined for x in[0,1] then the function f(2x+3...

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  13. The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

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  14. The domain of the real valued function f(x)=3e^sqrt(x^2-1)log(x-1) is

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  15. Domain of the function f(x)=sin^(-1)((2-|x|)/4)+cos^(-1)((2-|x|)/4)+ta...

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  16. The domain of the function f(x)=sin^(-1) frac1|x^2-1|+1/sqrt(sin^2x+si...

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  17. The range of function f(x)=sqrt("^(x^2+4x)C(2x^2+3)

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  18. Let n be a natural number. Then the range of the function f(n)=^(8-n)P...

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  19. If x^2+y^2+z^2=1, then xy + yz + zx lies in

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  20. The range of the function f(x)=sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

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