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

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

|x| + 9 - 6 = |x| + 3

Answer is |x| + 3

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

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