# How do you find the inverse of #y=ln(x+4)#?

To find the inverse of the function ( y = \ln(x + 4) ), follow these steps:

- Replace ( y ) with ( x ) and ( x ) with ( y ).
- Solve the resulting equation for ( y ).
- Replace ( y ) with ( f^{-1}(x) ) to represent the inverse function.

So, starting with ( y = \ln(x + 4) ):

[ x = \ln(y + 4) ]

[ e^x = y + 4 ]

[ y = e^x - 4 ]

Thus, the inverse of ( y = \ln(x + 4) ) is ( f^{-1}(x) = e^x - 4 ).

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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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