Question

1. if $f(x) = x^2 - 3x - 2$, find $f(5)$.

Explanation:

Step1: Substitute \( x = 5 \) into \( f(x) \)

We have the function \( f(x)=x^{2}-3x - 2 \). To find \( f(5) \), we replace every \( x \) in the function with \( 5 \). So we get \( f(5)=5^{2}-3\times5 - 2 \).

Step2: Calculate each term

First, calculate \( 5^{2}=25 \), then calculate \( 3\times5 = 15 \). Now substitute these values back into the expression: \( f(5)=25-15 - 2 \).

Step3: Simplify the expression

First, \( 25-15=10 \), then \( 10 - 2=8 \).

Answer:

\( 8 \)