What is the parity f(x)=sqrt((4x^2-9)/(2-sin^2(x))) ?

The parity f(x)=sqrt((4x^2-9)/(2-sin^2(x))) is Even

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parity f(x)=sqrt((4x^2-9)/(2-sin^2(x)))

parity

f (x) = \frac{4 x ^{2} - 9}{2 - sin ^{2} ( x )}

Even

Solution steps

f (- x) : \frac{- 9 + 4 x ^{2}}{2 - sin ^{2} ( x )}

- f (x) : - \frac{4 x ^{2} - 9}{2 - sin ^{2} ( x )}

Check parity of

\frac{4 x ^{2} - 9}{2 - sin ^{2} ( x )}

Check if Even:

True

Check if Odd:

False

Even

What is the parity f(x)=sqrt((4x^2-9)/(2-sin^2(x))) ?
The parity f(x)=sqrt((4x^2-9)/(2-sin^2(x))) is Even