Answer
Domain: $x\gt0$
x-intercept: $(\frac{1}{10,000},0)$
$x=0$ (y-axis) is the vertical asymptote.
Work Step by Step
$f(x)=4+\log x$
Domain:
$x\gt0$
x-intercept:
$f(x)=4+\log x=0$
$\log x=-4$
$x=10^{-4}$
$x=\frac{1}{10,000}=0.0001~~$ So, the x-intercept point is $(\frac{1}{10,000},0)$
$\log x \to\infty$ when $x\to0^+$
Then $x=0$ is the vertical asymptote.
