# Question #b8258

##### 2 Answers

#### Answer:

The question format is not clear.

Quick answer: log of a negative is not permitted so it is a no no to

#### Explanation:

NOT MEANT TO BE:

This would be very different!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So we have:

Set:

This is the equation of a strait line

So for this condition we have:

domain (input)

range (output)

However; as there is no 'excluded values' in this it is a little disconcerting that mention is made of an asymptote.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So perhaps the question is meant to be:

Set

Converting this to log base 10 we have

Now this is different as you do have excluded values, in that, from

So we have permitted value of

As

As

so

When

#### Answer:

See explanation.

#### Explanation:

The **range** is the set of all numbers for which the formula is defined.

In this example we have a

#x+4>0 #

So the domain is:

The

The asymptote is

The graph is:

graph{ log(x+4) - 3 [-6, 30, -17.26, 5.25]}