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
Roztwór
Héctor
élite · Tutor durante 8 años
4.6
(176 Votos)
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?