What is the parity f(x)=(sin(x))/(x^2)+x/(x^2-9) ?

The parity f(x)=(sin(x))/(x^2)+x/(x^2-9) is Odd

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parity f(x)=(sin(x))/(x^2)+x/(x^2-9)

parity

f (x) = \frac{sin ( x )}{x ^{2}} + \frac{x}{x ^{2} - 9}

Odd

Solution steps

f (- x) : - \frac{x}{x ^{2} - 9} - \frac{sin ( x )}{x ^{2}}

- f (x) : - \frac{sin ( x )}{x ^{2}} - \frac{x}{x ^{2} - 9}

Check parity of

\frac{sin ( x )}{x ^{2}} + \frac{x}{x ^{2} - 9}

Check if Even:

False

Check if Odd:

True

Odd

x

\frac{x ^{2} - 81}{x ^{2} - 13 x + 36}

f (x) = - 2 x^{5} + 10 x^{4}

\frac{- 3 - 4 x + 25}{2}

f (x) = - 3 x^{2} - 10 x - 8

What is the parity f(x)=(sin(x))/(x^2)+x/(x^2-9) ?
The parity f(x)=(sin(x))/(x^2)+x/(x^2-9) is Odd