Find the indicated intercept(s) of the graph of the function.
-$x$-intercepts of $f ( x ) = \frac { x ^ { 2 } + 5 } { x ^ { 2 } + 2 x + 6 }$
A) $( 6,0 )$
B) $( \sqrt { 5 } , 0 ) , ( - \sqrt { 5 } , 0 )$
C) $( 5,0 )$
D) none

Question

Quizplus · Accepted Answer

To find the x-intercepts of a function, we set $f(x) = 0$ and solve for $x$. For the given function $f(x) = \frac{x^2 + 5}{x^2 + 2x + 6}$, setting the numerator equal to zero gives $x^2 + 5 = 0$, which has no real solutions since $x^2 = -5$ is not possible for real numbers. Therefore, the function has no x-intercepts.

Find the Indicated Intercept(s) of the Graph of the Function xxx

Find the Indicated Intercept(s) of the Graph of the Function $x$