First slide

Functions (XII)

Question

If $f (x) = \frac{x}{\sqrt{1 + x^{2}}}$ then $f o f o f (x) =$

Moderate

A

$\frac{x}{\sqrt{1 + 3 x^{2}}}$
B

$\frac{x}{\sqrt{1 - x^{2}}}$
C

$\frac{2 x}{\sqrt{1 + 2 x^{2}}}$
D

$\frac{x}{\sqrt{1 + x^{2}}}$

Solution

$f (f (...... n t i m e s)) = \frac{x}{\sqrt{1 + n x^{2}}}$

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