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If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

(f + g(x)>3 for all values of x
(f + g)(x)<3 for all values of x
(f + g)(x)>6 for all values of x
(f + g)(x)<6 for all values of x

User Vipul Asri
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1 Answer

5 votes

Answer: for all values of x

Explanation:


(f+g)(x)=|x|+9-6=|x|+3

Since the range of y = |x| is
y \geq 0, adding 3 to this shifts the graph 3 units up, giving us that
(f+g)(x) \geq 3 for all values of x.

User Pandagrammer
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