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  • Question 1
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    The set of solutions satisfying both x2+5x+6≥0 and x2+3x−4<0 is :

  • Question 2
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    Find the solution of the inequality \((x-3)<\sqrt{x^{2}+4 x-5}\) ?

  • Question 3
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    The figure of the function P(x)=ax2+bx+c is graphed. Find which of the following would be positive for the given scenario.

  • Question 4
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    Let \(f(x)=x^{2}-x+1, x \geq\left(\frac{1}{2}\right)\) then the solution of the equation \(f(x)=f^{-1}(x)\) is :

  • Question 5
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    If \(f(x)\) is a polynomial function such that \(f(x) f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right)\) and \(f(3)=-80\) then \(f(x)\) is equal to:

  • Question 6
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    If (3,1) is a solution of the equation 3x+2y=k find the value of k.

  • Question 7
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    If f:R→R and g:R→R are defined by f(x)=x−[x] and g(x)=[x] for x∈R, where [x] is the greatest integer not exceeding x, then for every x∈R,f(g(x))=

  • Question 8
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    The domain of \(f(x)=\sin ^{-1}\left(\frac{x-4}{3}\right)+\log (2-x)\) is :

  • Question 9
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    If \(f(a)=\log \frac{2+a}{2-a}\) for \(0

  • Question 10
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    If \(f: R \rightarrow R\) and \(g: R \rightarrow R\) are functions defined by \(f(x)=3 x-1 ; g(x)=\sqrt{x+6},\) then the value of \(\left(g \circ f^{-1}\right)(2009)\) is:

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