Answer :
To find the value of \( g(5) \) for the function \( g(x) = x^2 - 4 \), we need to substitute \( x = 5 \) into the function and then simplify.
1. Start with the function: \( g(x) = x^2 - 4 \).
2. Substitute \( x = 5 \) into the function:
[tex]\[ g(5) = 5^2 - 4 \][/tex]
3. Calculate \( 5^2 \):
[tex]\[ 5^2 = 25 \][/tex]
4. Subtract 4 from 25:
[tex]\[ 25 - 4 = 21 \][/tex]
Therefore, \( g(5) = 21 \). The correct answer is:
21
1. Start with the function: \( g(x) = x^2 - 4 \).
2. Substitute \( x = 5 \) into the function:
[tex]\[ g(5) = 5^2 - 4 \][/tex]
3. Calculate \( 5^2 \):
[tex]\[ 5^2 = 25 \][/tex]
4. Subtract 4 from 25:
[tex]\[ 25 - 4 = 21 \][/tex]
Therefore, \( g(5) = 21 \). The correct answer is:
21
