Questions: 1/2 g(6a) =

Transcript text: $\frac{1}{2} g(6 a)=$

Solution

Solution Steps

To solve the given expression, we need to evaluate the function $ g $ at $ 6a $ and then multiply the result by $ \frac{1}{2} $. Since the function $ g $ is not defined in the question, we will assume it is a placeholder for any function. We will write a Python function to represent $ g $ and then compute the expression.

Step 1: Define the Function $ g(x) $

Assume the function $ g(x) $ is defined as $ g(x) = x^2 $.

Step 2: Substitute $ x = 6a $ into $ g(x) $

Substitute $ x = 6a $ into the function $ g $: \[ g(6a) = (6a)^2 \]

Step 3: Simplify the Expression

Simplify the expression: \[ g(6a) = 36a^2 \]

Step 4: Multiply by $ \frac{1}{2} $

Multiply the result by $ \frac{1}{2} $: \[ \frac{1}{2} g(6a) = \frac{1}{2} \times 36a^2 = 18a^2 \]

Step 5: Substitute $ a = 3 $

Substitute $ a = 3 $ into the expression: \[ 18a^2 = 18 \times 3^2 = 18 \times 9 = 162 \]