Questions: Evaluate f(x)=3x+2 when x=-4

Transcript text: Evaluate $f(x)=3 x+2$ when $x=-4$

Solution

To evaluate the function $ f(x) = 3x + 2 $ at $ x = -4 $, substitute $-4$ for $ x $ in the equation and compute the result.

Step 1: Substitute the Value

To evaluate the function $ f(x) = 3x + 2 $ at $ x = -4 $, we substitute $-4$ into the function: \[ f(-4) = 3(-4) + 2 \]

Step 2: Perform the Multiplication

Next, we calculate the multiplication: \[ 3(-4) = -12 \]

Step 3: Add the Constant

Now, we add the constant $ 2 $ to the result from the previous step: \[ -12 + 2 = -10 \]

The value of $ f(-4) $ is $\boxed{-10}$.

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