Question

If f(x) = 3x2 – 2x + 4 and g(x) = 5x + 6x - 8, find (f - g)(x).

Answer 1

$\begin{gathered} f(x)=3x^2-2x+4 \\ g(x)=5x+6x-8 \end{gathered}$$\begin{gathered} (f-g)(x)=f(x)-g(x)=3x^2-2x+4-(5x+6x-8) \\ f(x)-g(x)=3x^2-2x+4-5x-6x+8 \\ f(x)-g(x)=3x^2-2x+4-11x+8 \\ f(x)-g(x)=3x^2-13x+12 \end{gathered}$