Questions: If f(x)=3x+1 and g(x)=2x+1, what is the value of f(g(2))?

If f(x)=3x+1 and g(x)=2x+1, what is the value of f(g(2))?
Transcript text: Question 8 5 pts (02.04 LC) If $f(x)=3 x+1$ and $g(x)=2 x+1$, what is the value of $f(g(2))$ ?
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Solution

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Solution Steps

Step 1: Evaluate \( g(2) \)

Given \( g(x) = 2x + 1 \), substitute \( x = 2 \) into the function: \[ g(2) = 2(2) + 1 = 4 + 1 = 5 \]

Step 2: Evaluate \( f(g(2)) \)

Now, substitute \( g(2) = 5 \) into \( f(x) = 3x + 1 \): \[ f(g(2)) = f(5) = 3(5) + 1 = 15 + 1 = 16 \]

Final Answer

The value of \( f(g(2)) \) is \(\boxed{16}\).

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