Question

Find (f-g)(x). What is the domain of f/g
f(x)=2x-5 g(x)=2-x

Answer 1

`f(x)=2x-5 , \ \ \ \ g(x)=2-x \\\\(f-g)(x)=f(x)-g(x) = 2x-5 -(2-x)=2x-5-2+x = 3x+5 \\\\\\ domain : (f)/(g)=(2x-5)/(2-x)\\\\2-x\\eq 0 \\ \\x\\eq 2 \\ \\D=R\setminus \left \{ 2 \right \}`