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13. consider the functions ( f(x) = x + 3 ) and ( g(x) = -x + 1 ) repre…

Question

  1. consider the functions ( f(x) = x + 3 ) and ( g(x) = -x + 1 ) represented on the right.

a) represent the function ( s ) given that ( s(x) = f(x) + g(x) ).

Explanation:

Step1: Substitute f(x) and g(x)

$s(x) = (x+3) + (-x+1)$

Step2: Combine like terms

$s(x) = x - x + 3 + 1$

Step3: Simplify the expression

$s(x) = 0x + 4 = 4$

Answer:

$s(x) = 4$