QuestionAugust 25, 2025

Let f(x)=5x+2 and g(x)=5x^2+3x After simplifying, (f+g)(x)=square

Let f(x)=5x+2 and g(x)=5x^2+3x After simplifying, (f+g)(x)=square
Let f(x)=5x+2 and g(x)=5x^2+3x After simplifying, (f+g)(x)=square

Solution
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Answer

5x^2 + 8x + 2 Explanation 1. Define the sum of functions The sum (f+g)(x) is defined as f(x) + g(x). 2. Substitute and simplify Substitute f(x) = 5x + 2 and g(x) = 5x^2 + 3x into the expression: (f+g)(x) = (5x + 2) + (5x^2 + 3x). Simplify by combining like terms: = 5x^2 + (5x + 3x) + 2 = 5x^2 + 8x + 2.

Explanation

1. Define the sum of functions<br /> The sum $(f+g)(x)$ is defined as $f(x) + g(x)$.<br />2. Substitute and simplify<br /> Substitute $f(x) = 5x + 2$ and $g(x) = 5x^2 + 3x$ into the expression: <br /> $(f+g)(x) = (5x + 2) + (5x^2 + 3x)$.<br /> Simplify by combining like terms: <br /> $= 5x^2 + (5x + 3x) + 2 = 5x^2 + 8x + 2$.
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