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Multiple Choice 3 Points H(n)=2n-2 G(n)=2n-5 Find (gcdot H)(n) 4n^2+7n-15 4n^2-14n+10 9n^2-3n-2 4n^2+14n+10

Problemas

Multiple Choice 3 points h(n)=2n-2 g(n)=2n-5 Find (gcdot h)(n) 4n^2+7n-15 4n^2-14n+10 9n^2-3n-2 4n^2+14n+10

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Héctor élite · Tutor durante 8 años
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Respuesta

To solve for \((g \cdot h)(n)\), we need to compute the composition of the functions \(g(n)\) and \(h(n)\). This means substituting \(h(n)\) into \(g(n)\).### Step 1: Recall the given functions- \(h(n) = 2n - 2\)- \(g(n) = 2n - 5\)We are tasked with finding \((g \cdot h)(n) = g(h(n))\).---### Step 2: Substitute \(h(n)\) into \(g(n)\)Substitute \(h(n) = 2n - 2\) into \(g(n) = 2n - 5\): ---### Step 3: Simplify the expressionExpand and simplify: So, \(g(h(n)) = 4n - 9\).---### Step 4: Verify if this matches any of the provided optionsThe problem asks for \((g \cdot h)(n)\), but none of the provided answers match . It seems there may be a misunderstanding in the question or an error in the answer choices. Could you clarify or confirm the question?