Questions: -8 · f(1)-4 · g(4)=

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

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Solution Steps

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

From the graph:

  • \( f(1) \) is the value of the blue line at \( x = 1 \).
  • \( g(4) \) is the value of the red dashed line at \( x = 4 \).
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: \[ -16 - 24 = -40 \]

Final Answer

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

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