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

Please help!!! i have the domains just need help on where it has an x which means-example-1
User Jmac
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1 Answer

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SOLUTION

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)

User Wrozwad
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