Question

g(n) = -n² - 3
evaluate g(-2)

Explanation:

Step1: Substitute \( n = -2 \) into \( g(n) \)

We have the function \( g(n) = -n^2 - 3 \). To find \( g(-2) \), we replace \( n \) with \( -2 \) in the function. So we get \( g(-2)=-(-2)^2 - 3 \).

Step2: Calculate the exponent

First, calculate \( (-2)^2 \). By the definition of squaring a number, \( (-2)^2=(-2)\times(-2) = 4 \). So now the expression becomes \( g(-2)=-4 - 3 \).

Step3: Perform the subtraction

Now, we calculate \( -4-3 \). Subtracting 3 from -4 gives us \( -7 \).

Answer:

\( -7 \)