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If f(x) = 2x + |x|, g(x) = 1/3(2x - |x|)...

If `f(x) = 2x + |x|, g(x) = 1/3(2x - |x|)` and h(x) = f(g(x)), then find the domain of `sin^(1-)(h(h(h(h...h(x)...))))/(n "times")`

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PATHFINDER-FUNCTION-QUESTION BANK
  1. Check whether the function defined f(x + lambda) = 1 + sqrt(2f(x) - f^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The range of the function f(x)=sqrt(3x^2-4x+5) is

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  18. If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetric ab...

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  19. If the graph of the function f(x) is symmetrical about x = 20 then

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  20. If f is even function defined on the interval (-5, 5), then real value...

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