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

The domain is

The range is

Consequently,

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

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The domain of the function ( y(x) = \ln(x+2) ) is all real numbers greater than -2, since the natural logarithm function is defined only for positive real numbers. Therefore, the domain is ( x \in (-2, \infty) ).

The range of the function is all real numbers, since the natural logarithm function can output any real number as its value. Therefore, the range is ( y \in (-\infty, \infty) ).

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