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Question

$f : \mathbb{R} \rightarrow \mathbb{R}$ and $g : [0, \infty) \rightarrow \mathbb{R}$ are defined by $f(x) = x^2$ and $g(x) = \sqrt{x}$. Which one of the following is not true?

$(f \circ g)(2) = 2$

$(g \circ f)(-2) = -2$

$(g \circ f)(4) = 4$

$(f \circ g)(-4) = -4$

Solution

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