Answer:
its a
Step-by-step explanation:
Since x=5 is a vertical line, there is no y-intercept and the slope is undefined.
equation is:
![f(x) = \frac{x}{ {x}^{2} - 1 }](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%201%20%7D%20)
so if its even f(-x) should be equal to f(x)
that means
![f( - x) = \frac{ - x}{ {( - x)}^{2} - 1} \\ \\ f( - x) = - \frac{ x}{ {x}^{2} - 1}](https://tex.z-dn.net/?f=f%28%20-%20x%29%20%3D%20%20%20%5Cfrac%7B%20-%20x%7D%7B%20%20%7B%28%20-%20x%29%7D%5E%7B2%7D%20%20-%201%7D%20%20%5C%5C%20%20%5C%5C%20f%28%20-%20x%29%20%3D%20%20%20%20%20-%20%5Cfrac%7B%20x%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20-%201%7D%20)
so f(x) is not equal to f(-x) so its not even
If its odd than f(-x) should be equal to -f(x)
![- f(x) = - ( \frac{ x}{ { x}^{2} - 1 } ) \\ - f(x) = - \frac{ x}{ {x}^{2} - 1 }](https://tex.z-dn.net/?f=%20-%20f%28x%29%20%3D%20%20-%20%28%20%5Cfrac%7B%20x%7D%7B%20%7B%20x%7D%5E%7B2%7D%20-%201%20%7D%20%29%20%5C%5C%20%20-%20f%28x%29%20%3D%20%20%20%20-%20%5Cfrac%7B%20x%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%201%20%7D%20)
so as we can see f(-x)= - f(x)
so the function is odd
Ans:function is odd and not even
X - Ollie's age
8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16
![x-8=3x-16 \\ x-3x=-16+8 \\ -2x=-8 \\ x=4](https://tex.z-dn.net/?f=x-8%3D3x-16%20%5C%5C%0Ax-3x%3D-16%2B8%20%5C%5C%0A-2x%3D-8%20%5C%5C%0Ax%3D4)
Ollie is 4 years old.
Answer:
32 pages of notes
Step-by-step explanation:
16*2= 32 (Hours*Pages per hour)
Hope this helps! :)