We have two functions:
[tex]f(x)\text{ = 3x + 10}[/tex]And
[tex]g(x)\text{ = 2x - 4}[/tex]The subtraction is:
[tex]f(x)\text{ - g(x) = 3x + 10 - (2x - 4)}[/tex]Subtracting the common terms:
[tex]f(x)\text{ - g(x) = (3x - 2x) + (10-4) = x - 6}[/tex]The answer is:
[tex]f(x)\text{ - g(x) = x - 6}[/tex]