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

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the function:

f(x) = |x| + 9

g(x) = -6

Determine the value of (f + g)(x)

Solution:

In order to determine the value of (f + g)(x), we simply need to equate the two functions in the one single equation separated by a plus sign which denotes the operation of addition.

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

(f + g)(x) = |x| + 9  - 6 

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

Final answer:
(f + g)(x) = |x| + 3

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