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Advanced Math Difficulty: Easy

The function $g$ is defined by $g (x) = | x + 18 |$ . What is the value of $g left parenthesis 4 right parenthesis$ ?

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Explanation

Choice D is correct. The value of $g left parenthesis 4 right parenthesis$ is the value of $g (x)$ when $x equals 4$ . Substituting $4$ for $x$ in the given equation yields $g (4) = |4 + 18|$ , which is equivalent to $g left parenthesis 4 right parenthesis equals StartAbsoluteValue 22 EndAbsoluteValue$ , or $g left parenthesis 4 right parenthesis equals 22$ . Therefore, the value of $g left parenthesis 4 right parenthesis$ is $22$ .

Choice A is incorrect. This would be the value of $g left parenthesis 4 right parenthesis$ if function $g$ was defined by $g (x) = - |18|$ , not $g (x) = |x + 18|$ .

Choice B is incorrect. This would be the value of $g left parenthesis 4 right parenthesis$ if function $g$ was defined by $g (x) = - |x|$ , not $g (x) = |x + 18|$ .

Choice C is incorrect. This would be the value of $g left parenthesis 4 right parenthesis$ if function $g$ was defined by $g (x) = |- x + 18|$ , not $g (x) = |x + 18|$ .