Question

If f(x)=2x-1+3 and g(x)=5x-9, what is (f-g)(x)?

Answer 1

`\large\boxed{(f-g)(x)=-3x+11}`

Explanation:

`(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-1+3=2x+2\\g(x)=5x-9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x+2)-(5x-9)\\\\=2x+2-5x-(-9)\\\\=2x+2-5x+9\qquad\text{combine like terms}\\\\=(2x-5x)+(2+9)\\\\=-3x+11`