To solve [tex]\( f(5) \)[/tex] using the function [tex]\( f(x) = x^2 - 3x \)[/tex], follow these steps:
1. Start with the function definition:
[tex]\[ f(x) = x^2 - 3x \][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[ f(5) = 5^2 - 3 \cdot 5 \][/tex]
3. Calculate [tex]\( 5^2 \)[/tex]:
[tex]\[ 5^2 = 25 \][/tex]
4. Calculate [tex]\( 3 \cdot 5 \)[/tex]:
[tex]\[ 3 \cdot 5 = 15 \][/tex]
5. Subtract the second result from the first:
[tex]\[ 25 - 15 = 10 \][/tex]
Therefore, the value of [tex]\( f(5) \)[/tex] is:
[tex]\[ f(5) = 10 \][/tex]