Question

1. evaluate the following functions for g(-3).

a. g(x)= x²-5

Explanation:

Step1: Substitute x with -3

To find \( g(-3) \) for the function \( g(x) = x^2 - 5 \), we substitute \( x = -3 \) into the function. So we get \( g(-3) = (-3)^2 - 5 \).

Step2: Calculate the square

First, calculate \( (-3)^2 \). Remember that squaring a negative number gives a positive result, so \( (-3)^2 = 9 \). Now the expression becomes \( g(-3) = 9 - 5 \).

Step3: Subtract the numbers

Then, subtract 5 from 9: \( 9 - 5 = 4 \).

Answer:

\( g(-3) = 4 \)