Question

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

(f + g)(x) greater than or equal to 3 for all values of x

(f + g)(x) less than or equal to 3 for all values of x

(f + g)(x) greater than or equal to 6 for all values of x

(f + g)(x) lless than or equal to 6 for all values of x

Answer 1

(f + g)(x) = f(x) + g(x) = |x| + 9 + (-6) = |x| + 3
|x| is either equal to zero or greater than zero, so

(f + g)(x) greater than or equal to 3 for all values of x

Answer 2

Gracias! Had that in mind. Wasn't so sure though.