Question

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

a) |x| + 3
b) -6x + 3
c) |x| - 6
d) -6x + 9

Answer 1

The sum of the functions f(x) = |x| + 9 and g(x) = -6 is calculated by adding them together, resulting in (f + g)(x) = |x| + 3. Therefore, the correct answer is a) |x| + 3.

Step-by-step explanation:

The student is asking about combining two functions, f(x) which is defined as |x| + 9, and g(x) which is given as -6. When we want to find the value of (f + g)(x), we simply add the two functions together. In this case, you combine |x| + 9 and -6.

To combine these, we perform the following calculation:

(f + g)(x) = f(x) + g(x)

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

= |x| + 9 - 6

= |x| + 3

Therefore, the correct answer is a) |x| + 3.