Question

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

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.