Answer
Domain: $x\gt0$ or $(0,∞)$
x-intercept: $(0.00248,0)$
$x=0$ (y-axis) is the vertical asymptote.
Work Step by Step
$f(x)=\ln x+6$
Domain: $x\gt0$ or $(0,∞)$
x-intercept:
$f(x)=\ln x+6=0$
$\ln x=-6$
$e^{\ln x}=e^{-6}$ (Using the Inverse Property $e^{\ln x}=x$):
$x=0.00248~~$ So, the x-intercept point is $(0.00248,0)$
$\ln x→−∞$ when $x→0^+$. Then $x=0$ (y-axis) is the vertical asymptote.
