Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-$$\begin{array} { l }
f ( x ) = 11 x ^ { 2 } \
g ( x ) = - 13 x
\end{array}$$
A) $x = \frac { 13 } { 11 } , x = 0$
B) $x = \pm \frac { 13 } { 11 }$
C) $x = 0$
D) $x = - \frac { 13 } { 11 } , x = 0$

Question

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-$$\begin{array} { l } 
f ( x ) = 11 x ^ { 2 } \
g ( x ) = - 13 x
\end{array}$$
A) $x = \frac { 13 } { 11 } , x = 0$
B) $x = \pm \frac { 13 } { 11 }$
C) $x = 0$
D) $x = - \frac { 13 } { 11 } , x = 0$

Quizplus · Accepted Answer

To find the points of intersection, set $f(x) = g(x)$: $11x^2 = -13x$. Rearrange to $11x^2 + 13x = 0$. Factor to $x(11x + 13) = 0$. Solutions are $x = 0$ and $x = -\frac{13}{11}$.

Solve F(x) = G(x) f(x)=11x2g(x)=−13x\begin{array} { l } f ( x ) = 11 x ^ { 2 } \\g ( x ) = - 13 x\end{array}f(x)=11x2g(x)=−13x​

Solve F(x) = G(x) $\begin{array} { l } f ( x ) = 11 x ^ { 2 } \\g ( x ) = - 13 x\end{array}$