What is the domain and range of $y(x)=ln(x+2)$ ?

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Answer 1 · 2018-05-21T12:00:38

The domain is $x in (-2, +oo)$ .
The range is $y in RR$

What's in the log function is $>0$

Therefore,

$x+2 >0$

$x > -2$

The domain is $x in (-2, +oo)$

Let $y=ln(x+2)$

$x+2=e^y$

$x=e^y-2$

$AA y in RR, e^y>0$

The range is $y in RR$

graph{ln(x+2) [-8.54, 23.5, -9.32, 6.7]}

What is the domain and range of y(x)=ln(x+2)y(x)=ln(x+2)?