# Chapter 5 - Review Exercises - Page 413: 53

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.

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