How to extract module and phase from this transfer function?

Question

I have this transfer function: $$H(x)= \frac{1}{x+i(1+x)}$$ How can I extract module and phase and represent them?

Answer 1

Note that the module and phase of $1/z$ are the reciprocal of the module of $z$ and the negative of the phase of $z$, respectively. In case you don't know how to determine the module and phase of $x+\mathrm i(1+x)$, you might want to look at this.