Questions: g(t)=2t+4 f(t)=4t+4 Find g(10)+f(10)

Transcript text: \[ \begin{array}{l} g(t)=2 t+4 \\ f(t)=4 t+4 \end{array} \] Find $g(10)+f(10)$

Solution

To solve this problem, we need to evaluate the functions $ g(t) $ and $ f(t) $ at $ t = 10 $ and then sum the results.

Step 1: Evaluate $ g(10) $

To find $ g(10) $, we substitute $ t = 10 $ into the function $ g(t) = 2t + 4 $: \[ g(10) = 2(10) + 4 = 20 + 4 = 24 \]

Step 2: Evaluate $ f(10) $

Next, we find $ f(10) $ by substituting $ t = 10 $ into the function $ f(t) = 4t + 4 $: \[ f(10) = 4(10) + 4 = 40 + 4 = 44 \]

Step 3: Calculate $ g(10) + f(10) $

Now, we sum the results of $ g(10) $ and $ f(10) $: \[ g(10) + f(10) = 24 + 44 = 68 \]

$\boxed{68}$

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