Question

If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)?
a. (f + g)(x) mc023-1.jpg 3 for all values of x
b. (f + g)(x) mc023-2.jpg 3 for all values of x
c. (f + g)(x) mc023-3.jpg 6 for all values of x
d. (f + g)(x) mc023-4.jpg 6 for all values of x

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Correct Question:

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

Given:

f(x) = |x| + 9

g(x) = –6

To find:

Which describes the value of (f + g)(x)?

Solution:

f(x) = |x| + 9

g(x) = -6

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

(f + g)(x) = |x| + 3     ≥ 3

(f + g)(x) ≥ 3 is true for all values of x