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Functions and Limits - Set 5
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NUST Entrance Test
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Mathematics
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Functions and Limits
Set 5
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Mashaal Masha
Oct 05, 2022
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Choose the correct options for the following questions.
If $f(x)=\sqrt{x+1}$ and $g(x)=\frac{1}{x^{2}}$ then fof(x)=
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Difficulty: Easy
A:
$\frac{1}{x+1}$
B:
$\frac{3(x-1)}{4-x}$
C:
$\frac{3}{2x}$
D:
$\frac{1}{{\sqrt{\sqrt{x+1}+1}}}$
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If f(x)=2x+1 and $g(x)=x^{2}-1$ then $g^{2}(x)=
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Difficulty: Easy
A:
$x^{4}-2x^{2}$
B:
$x^{4}+1-2x^{2}$
C:
$2x^{4}-1$
D:
$2x^{4}+1$
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