Replace f(x) to 5x-3 and g(x) to 3x-3 then subtract f(x) by g(x).
[tex] \large{f(x) - g(x) = (5x - 3) - (3x - 3)}[/tex]
Cancel the brackets, remember that multiplying or expanding the negative symbol will switch the sign. From plus to minus and minus to plus.
[tex] \large{ f(x) - g(x)= 5x - 3 - 3x + 3 }[/tex]
Combine like terms.
[tex] \large{f(x) - g(x) = 2x + 0 \longrightarrow \boxed{2x}}[/tex]
Answer
