QuestionAugust 25, 2025

9) f(x)=2x+5 g(x)=2x+3 Find (f+g)(x)

9) f(x)=2x+5 g(x)=2x+3 Find (f+g)(x)
9) f(x)=2x+5 g(x)=2x+3 Find (f+g)(x)

Solution
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Answer

(f+g)(x) = 4x + 8 Explanation 1. Define (f+g)(x) (f+g)(x) = f(x) + g(x) 2. Substitute f(x) and g(x) f(x) = 2x + 5 and g(x) = 2x + 3 3. Add the functions (f+g)(x) = (2x + 5) + (2x + 3) 4. Simplify the expression Combine like terms: 4x + 8

Explanation

1. Define $(f+g)(x)$<br /> $(f+g)(x) = f(x) + g(x)$<br /><br />2. Substitute $f(x)$ and $g(x)$<br /> $f(x) = 2x + 5$ and $g(x) = 2x + 3$<br /><br />3. Add the functions<br /> $(f+g)(x) = (2x + 5) + (2x + 3)$<br /><br />4. Simplify the expression<br /> Combine like terms: $4x + 8$
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