Let f(x) = 2x − 5 and g(x) = 7 − 2x. Then |f(x) + g(x)| = |f(x)| + |g(x)| if and only if
Correct Answer :
5/2 ≤ x ≤ 7/2
Solution :
Correct Option: D
f(x) = 2x – 5, g(x) = 7 – 2x.
Given, |f(x) + g(x)| = |f(x)| + |g(x)
2 = |f(x)| + |g(x)|
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