Questions: g(n)=n+5 f(n)=2n Find g(f(1))

g(n)=n+5
f(n)=2n
Find g(f(1))
Transcript text: 3) \[ \begin{array}{l} g(n)=n+5 \\ f(n)=2 n \\ \text { Find } g(f(1)) \end{array} \]
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Solution

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Solution Steps

Step 1: Evaluate \( f(1) \)

Given \( f(n) = 2n \), substitute \( n = 1 \): \[ f(1) = 2 \times 1 = 2 \]

Step 2: Substitute \( f(1) \) into \( g(n) \)

Given \( g(n) = n + 5 \), substitute \( n = f(1) = 2 \): \[ g(f(1)) = g(2) = 2 + 5 = 7 \]

Step 3: Final Result

The value of \( g(f(1)) \) is: \[ g(f(1)) = 7 \]

Final Answer

\(\boxed{7}\)

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