Answer:
Step-by-step explanation:
Equation of the line perpendicular to f(x) that passes through origin:
![g(x)= \frac{3}{2}x](https://tex.z-dn.net/?f=g%28x%29%3D%20%5Cfrac%7B3%7D%7B2%7Dx)
Intersection point:
![9-\frac{2}{3}x=\frac{3}{2}x](https://tex.z-dn.net/?f=9-%5Cfrac%7B2%7D%7B3%7Dx%3D%5Cfrac%7B3%7D%7B2%7Dx)
, ![y= \frac{51}{26}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B51%7D%7B26%7D)
Triangle formed with vertex A (0,9), O(0,0), and C (27/13, 51/26).
The height of the triangle is 27/13 with respect to the base OA
Now, the leftover is just applying the formula to find the area of the triangle.
I let you finish your own work. Good luck