Sorry - no, it is not correct. It must have the form as mentioned by MrAl in his answer #18.Thank you I have done the derivation of the transfer function, which resulted (R^2 C^2 s^2+3RCs+1)/ (2RCs+1)kindly confirm the answer.
There you can see that (with s=jw) the numerator is imaginary. Hence, the whole function will be real if he denominator is also purely imaginary (real part=0). It is a rather simple calculation.
Hint: After inspecting the passive RC circuit - which output voltage do you expect at very low frequencies (down to w=0)?
Compare this with your function for s=jw=0.
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