Question

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

Answer 1

(f + g)(x) = |x| + 3

(f + g)(x) ≥ 3 for all values of x