Question

See attached picture, is there a way to enter equations or algebraic symbols?

Answer 1

SOLUTIONS

Solve a given equations or algebraic symbols?

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

(A)

`\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}`

(B)

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

(C)

`\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}`

(D)

`\begin{gathered} (f)/(g)(x)=(x^2+2x)/(1-x^2) \\ =(x^2+2x)/(1-x^2) \end{gathered}`