Answer: f(y) = (Cot(y) + 2/3)*(4/3)
Step-by-step explanation:
We have the function:
y = Arccot( 3*x/4 - 2/3)
And we want to find the inverse, then we must isolate x in the right side.
Applying cot( ) to both sides, we get
Cot( y) = Cot(Arccot( 3*x/4 - 2/3)) = 3*x/4 - 2/3
Cot(y) = 3*x/4 - 2/3
Cot(y) + 2/3 = 3*x/4
(Cot(y) + 2/3)*(4/3) = x
Then the inverse function is:
f(y) = (Cot(y) + 2/3)*(4/3)
