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Idea of a Set

Let fx=x2, gx...

Question

Let $f (x) = x^{2}, g (x) = 2^{x}$ . The number of integers in the solution set of $f o g (x) = g o f (x)$ is

A

0

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B

1

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C

2

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D

3

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Solution

The correct option is C $2$
$f o g (x) = g o f (x) \Rightarrow f (2^{x}) = g (x^{2}) \Rightarrow {(2^{x})}^{2} = 2^{x^{2}} \Rightarrow 2 x = x^{2} ∴ x = 0, 2$

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