Hi, lovely people! I wonder if you can help me with this function's analysis
f(x) = 3+ 3 cos (x+ π)
In the exercise I need to graph the function, find the image, the zeros, negative interval, and Ln[f(x]'s domain.

What I really want is to be able to find the inverse. And the Ln of the function f(x). (Ln[f(x)]
At some point I get lost applying the arccos. Help will be appreciated.
I know how to graph it, and I think zeros and negative intervals should be easy once I get passed the image.
Thanks!

Question

Hi, lovely people! I wonder if you can help me with this function's analysis
f(x) = 3+ 3 cos (x+ π)
In the exercise I need to graph the function, find the image, the zeros, negative interval, and Ln[f(x]'s domain.

What I really want is to be able to find the inverse. And the Ln of the function f(x). (Ln[f(x)]
 At some point I get lost applying the arccos. Help will be appreciated. 
I know how to graph it, and I think zeros and negative intervals should be easy once I get passed the image.
Thanks!

edisonvalentimlopes · Answer

Hi @tatianagomezb . Please note the charts in the order of construction (Vide Attach File). It is a graphical translational example, starting from a to f. I tried to solve your question but, if you don't understand, send me a message or an alert, ok?

tatianagomezb · Answer

Ok, thanks. So the image would be (0,6]. And if so, how can I check it analytically?