Answer with explanation:
The given function is:
⇒ y =3 x
And it's inverse function can be Calculated by, replacing , x by y, and , y by x, in the above equation
⇒x=3 y, is the equation of inverse function.
Both the original function , and inverse function passes through origin, As well as Origin is the point of Intersection, which can be shown as follows:
3 x-y=0-----(1)
x-3 y=0
3 x - 9 y =0 ------(2)
EQ.(1) - Eq.(2)
3 x - y - (3 x- 9 y)=0
-y + 9 y=0
8 y=0
y=0
Putting the value of , y in equation (2)
x=3 × 0
x=0
⇒Point of intersection of ,f(x) and it's inverse =(0,0)