Determine if the function is even, odd, or neither.
-$$g ( x ) = \frac { - 5 x } { x ^ { 2 } + 3 }$$
A) Even
B) Odd
C) Neither

Name: Determine if the function is even, odd, or neither. -\[g ( x ) = \frac { - 5 x } { x ^ { 2 } + 3 }\] A) Even B) Odd C) Neither
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Question

Quizplus · Accepted Answer

A function is odd if $ g(-x) = -g(x) $. For $ g(x) = \frac{-5x}{x^2 + 3} $, substituting $-x$ gives $ g(-x) = \frac{5x}{x^2 + 3} $, which is $-g(x)$. Hence, the function is odd.

Determine If the Function Is Even, Odd, or Neither g(x)=−5xx2+3g ( x ) = \frac { - 5 x } { x ^ { 2 } + 3 }g(x)=x2+3−5x​

Determine If the Function Is Even, Odd, or Neither $g ( x ) = \frac { - 5 x } { x ^ { 2 } + 3 }$