Answer:
Step-by-step explanation:
Equation of the line perpendicular to f(x) that passes through origin:
[tex]g(x)= \frac{3}{2}x[/tex]
Intersection point:
[tex]9-\frac{2}{3}x=\frac{3}{2}x[/tex]
[tex]x=\frac{27}{13}[/tex], [tex]y= \frac{51}{26}[/tex]
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
