I am having a bit of trouble trying to figure this out. The equation I come up with keeps canceling Omega out.

Attempt:

Converting the circuit to the frequency domain the capacitor becomes \( \frac{4}{j \omega} \).

I then used a current divider to find \( \underline Y(j \omega) = \underline u(j \omega) * \frac{(2+(\frac{4}{j \omega}))}{6+(2+(\frac{4}{j \omega}))} \)

Simplifying this I get the frequency response to be \( \frac{1}{2} \). I am fairly certain that his is not correct.

 

I am fairly certain that his is not correct.

I would tend to agree since Y=U*Z, where Z is the parallel combination of the R & RC branches.