First slide

Functions (XII)

Question

$The graph of function f (x) is shown below :$
$Then the graph of g (x) = \frac{1}{f (| x |)} is :$

Moderate

A
B
C
D

Solution

$\begin{array}{l} g (x) = \frac{1}{f (| x |)} \\ g (x) \Rightarrow even functions \Rightarrow symmetric about y -axis \end{array}$
$\begin{array}{l} \Rightarrow x \to \infty f (x) \to 0 \\ at x = x_{1} f (x) = 0 \Rightarrow g (x_{1}) \to \infty \end{array}$

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