Question

Try it?2.Recall the functions we used earlier.f(x) = 3x2 + x + 2g(x) = 4x2 + 2(3x - 4)h(x) = 5(x2 - 1)a. Let m(x) be f(x) + g(x). Find m(x).b. Find h(x) - m(x).

Answer 1

`\begin{gathered} f(x)=3x^2+x+2 \\ g(x)=4x^2+2(3x-4) \\ h(x)=5(x^2-1) \end{gathered}`

find m(x) by adding the functions f and g

`\begin{gathered} m(x)=3x^2+x+2+4x^2+6x-8 \\ m(x)=x^2(3+4)+x(1+6)+2-8 \\ m(x)=7x^2+7x-6 \end{gathered}`

after do the substractiom between h and m

`\begin{gathered} 5(x^2-1)-(7x^2+7x-6) \\ 5x^2-5-7x^2-7x+6 \\ x^2(5-7)+x(-7)+6-5 \\ -2x^2-7x+1 \end{gathered}`