What is the domain and range of $ln(x - 3) + 2$ ?

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Answer 1 · 2016-06-19T08:01:17

Domain is $(3,+oo)$ and range is $RR$

The domain is obtained by solving

$x-3>0$

$x>3$

Let be $y=ln(x-3)+2$

$ln(x-3)=y-2$

$x-3=e^(y-2)$

$x=e^(y-2)+3$

that is calculated for all y

so the range of y is $RR$

What is the domain and range of ln(x - 3) + 2ln(x - 3) + 2?