QuestionJuly 18, 2025

Given Find (fcdot g)(2) 19 11 143 029 021 f(x)=3x+5 g(x)=x^2+2x

Given Find (fcdot g)(2) 19 11 143 029 021 f(x)=3x+5 g(x)=x^2+2x
Given
Find (fcdot g)(2)
19
11
143
029
021
f(x)=3x+5
g(x)=x^2+2x

Solution
4.0(217 votes)

Answer

88 Explanation 1. Calculate f(2) Substitute x = 2 into f(x) = 3x + 5: f(2) = 3(2) + 5 = 6 + 5 = 11. 2. Calculate g(2) Substitute x = 2 into g(x) = x^2 + 2x: g(2) = 2^2 + 2(2) = 4 + 4 = 8. 3. Multiply f(2) and g(2) (f \cdot g)(2) = f(2) \times g(2) = 11 \times 8 = 88.

Explanation

1. Calculate $f(2)$<br /> Substitute $x = 2$ into $f(x) = 3x + 5$: $f(2) = 3(2) + 5 = 6 + 5 = 11$.<br /><br />2. Calculate $g(2)$<br /> Substitute $x = 2$ into $g(x) = x^2 + 2x$: $g(2) = 2^2 + 2(2) = 4 + 4 = 8$.<br /><br />3. Multiply $f(2)$ and $g(2)$<br /> $(f \cdot g)(2) = f(2) \times g(2) = 11 \times 8 = 88$.
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