we just need to reflect the graph of g(x) around the y-axis, and then shift the whole graph 5 units upwards.
How to translate the graph?
Here we have two functions:
[tex]g(x) = ln(x)\\\\f(x) = ln(-x) + 5[/tex]
Ok, let's start with g(x), which graph we know. If we reflect it around the y-axis, then the new function will be:
f(x) = g(-x)
If now we shift it up 5 units, then we get:
f(x) = g(-x) + 5
Replacing g(x):
f(x) = ln(-x) + 5
Which is our function
So we just need to reflect the graph of g(x) around the y-axis, and then move the whole graph 5 units upwards.
If you want to learn more about transformations:
https://brainly.com/question/4289712
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