Question

f(z)=tanh x+i tanh y
what is the domain for the function f(z) is analytic and where it is not analytic?

Answer 1

sinh x = (ex-ex)/2
cosh x = (ex+ex)/2
tanh x = sinhx/coshx
now check limits for denomitor not equal zero and that will be its domain and go for mind that wat will be range limit it will be cleared