summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of (…

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( f(x)=ln left(x^{2}+25\right) ).\nfind the domain. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the domain is all real ( x ), except ( x= ) (use a comma to separate answers as needed.)\nb. the domain is all real numbers.

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( f(x)=ln left(x^{2}+25\right) ).\nfind the domain. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the domain is all real ( x ), except ( x= ) (use a comma to separate answers as needed.)\nb. the domain is all real numbers.

Answer

Explanation:

Step1: Analyze the argument of the logarithm

For the function (y = \ln(u)), the argument (u>0). Here (u=x^{2}+25). Since (x^{2}\geq0) for all real (x), then (x^{2}+25\geq25>0) for all real (x).

Answer:

B. The domain is all real numbers.