Mathematics

Problem

Let

f:\mathbb R\to(0,\infty)

be defined by

f(x)=e^{x}

and

g:(0,\infty)\to\mathbb R

be defined by

g(t)=\ln(5-t)

. Find the domain of the composition

g\circ f

. a)

(\ln 5,\infty)

(-\infty,\ln 5]

(-\infty,\ln 5)

(-\infty,5)