A function `g(x)` is defined as `g(x)=-5x^(2)`. What is `g(-2)`?

Options

A. `-100`
B. `-20`
C. 20
D. 50

Answer

To find the value of \( g(-2) \) for the function \( g(x) = -5x^2 \), we will follow these steps:

### Step 1: Substitute \( -2 \) for \( x \) in the function
We start with the function:
\[ g(x) = -5x^2 \]
Now, we substitute \( -2 \) for \( x \):
\[ g(-2) = -5(-2)^2 \]

### Step 2: Calculate \( (-2)^2 \)
Next, we calculate \( (-2)^2 \):
\[ (-2)^2 = 4 \]
Now we can substitute this back into our equation:
\[ g(-2) = -5 \cdot 4 \]

### Step 3: Multiply by \(-5\)
Now, we multiply:
\[ g(-2) = -20 \]

### Final Answer
Thus, the value of \( g(-2) \) is:
\[ \boxed{-20} \]

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