Find the intervals on which the function is continuous.
-$$y = \frac { 2 } { ( x + 3 ) ^ { 2 } + 6 }$$
A) continuous everywhere
B) discontinuous only when $x = 15$
C) discontinuous only when $x = - 24$
D) discontinuous only when $x = - 3$

Question

Quizplus · Accepted Answer

The function is a rational function where the denominator is a square plus a positive number, which means it can never be zero. Therefore, the function has no points of discontinuity and is continuous everywhere.

Find the Intervals on Which the Function Is Continuous y=2(x+3)2+6y = \frac { 2 } { ( x + 3 ) ^ { 2 } + 6 }y=(x+3)2+62​

Find the Intervals on Which the Function Is Continuous $y = \frac { 2 } { ( x + 3 ) ^ { 2 } + 6 }$