Question

Please help!!! i have the domains just need help on where it has an x which means it’s incorrect

Answer 1

Step 1 :

Given

`\begin{gathered} f(x)=x^2\text{ + x } \\ \text{g ( x ) =x }^2 \end{gathered}`
`\begin{gathered} 1.(f+g)(x)=x^2+x+x^2=2x^2\text{ + x} \\ (f+g)(x)=2x^2\text{ + x } \end{gathered}`
`\begin{gathered} 2.\text{ Domain of ( f + g ) ( x ) = ( -}\infty\text{ , }\infty\text{ )} \\ \end{gathered}`
`\begin{gathered} 3.(f-g)(x)=x^2+x-x^2\text{ = x} \\ (\text{ f - g ) (x) = x } \end{gathered}`
`4.\text{ Domain of ( f - g ) ( x ) = (- }\infty\text{ , }\infty\text{ )}`
`5.fg(x)=(x^2+x)x^2=x^{\text{4 }}+x^3`
`6.\text{ Domain of fg ( x ) = ( - }\infty\text{ , }\infty\text{ )}`
`7.\text{ (}(f)/(g)\text{ )x = }\frac{x^2\text{ + x}}{x^2}\text{ = 1 + }(1)/(x)`