What is the parity f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) ?

The parity f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) is Odd

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parity f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2)

parity

f (x) = 1 + x + x^{2} - 1 - x + x^{2}

Odd

Solution steps

f (- x) : 1 - x + x^{2} - 1 + x + x^{2}

- f (x) : - 1 + x + x^{2} + 1 - x + x^{2}

Check parity of

1 + x + x^{2} - 1 - x + x^{2}

Check if Even:

False

Check if Odd:

True

Odd

f (x) = \frac{x - 2}{x + 8}

f (x) = \frac{x}{x ^{2} + 8}

7 x - 5 y = - 19

(- 6, - 5), (- 6, 9)

What is the parity f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) ?
The parity f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) is Odd