What is the range of the function f(x)=3 - ln(x+2) #?

Answer 1

#y \in RR#

The range of #f(x) = ln(x)# is #y \in RR#.
The transformations done to get #3-ln(x+2)# are to shift the graph 2 units left, 3 units up, and then reflect it over the #x#-axis. Of those, both the shift up and the reflection could change the range, but not if the range is already all real numbers, so the range is still #y \in RR#.
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Answer 2

The range of the function is all real numbers.

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Answer 3

The range of the function ( f(x) = 3 - \ln(x+2) ) is all real numbers, excluding ( (-\infty, 3] ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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