What is the parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) ?

The parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) is Odd

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parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a))

parity

y = (\frac{x}{a ^{2} - x ^{2}} - arcsin (\frac{x}{a}))

Odd

Solution steps

f (- x) : - \frac{x}{a ^{2} - x ^{2}} - arcsin (- \frac{x}{a})

- f (x) : - \frac{x}{a ^{2} - x ^{2}} + arcsin (\frac{x}{a})

Check parity of

\frac{x}{a ^{2} - x ^{2}} - arcsin (\frac{x}{a})

Check if Even:

False

Check if Odd:

True

Odd

f (x) = (\frac{1}{5})^{x}

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

f (x) = \frac{1}{1 - x}

(2.5) (8.3)

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

What is the parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) ?
The parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) is Odd