Questions: -8 · f(1)-4 · g(4)=

Transcript text: $-8 \cdot f(1)-4 \cdot g(4)=$

Solution

Step 1: Identify the values of $ f(1) $ and $ g(4) $

From the graph:

Step 2: Read the values from the graph

At $ x = 1 $, the blue line $ f(x) $ is at $ y = 2 $. Therefore, $ f(1) = 2 $.
At $ x = 4 $, the red dashed line $ g(x) $ is at $ y = 6 $. Therefore, $ g(4) = 6 $.

Step 3: Substitute the values into the expression

Substitute $ f(1) = 2 $ and $ g(4) = 6 $ into the expression $-8 \cdot f(1) - 4 \cdot g(4)$: \[ -8 \cdot 2 - 4 \cdot 6 \]

Step 4: Perform the calculations

Calculate each term: \[ -8 \cdot 2 = -16 \] \[ -4 \cdot 6 = -24 \]

Step 5: Add the results

Add the results of the calculations: \[ -16 - 24 = -40 \]

\[ -8 \cdot f(1) - 4 \cdot g(4) = -40 \]

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