Conversation

I'm trying to understand how to apply a H(s) transfer function to phasors in order to find the filtered phasors.

I have understood that s is the complex frequency, and can be replaced with jω, where j is the imaginary unit and ω is the angular frequency, but when confronted with a function like...

H(s) = 1 + (G f) / (s + f)

...do you just plug in jω like...

H(jω) = 1 + (G f) / (jω + f)

...and perform a complex multiplication with the phasor, and ta-da, you have the response?