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

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( y = f(x) ).\n( f(x)=ln (x + 5)-4 )\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the domain of ( f ) is\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the domain of ( f ) is empty.

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( y = f(x) ).\n( f(x)=ln (x + 5)-4 )\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the domain of ( f ) is\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the domain of ( f ) is empty.

Answer

Explanation:

Step1: Determine the domain condition for the logarithmic function

For the function (y = \ln(u)), the argument (u>0). Here (u=x + 5), so we set up the inequality (x+5>0).

Step2: Solve the inequality

Subtract 5 from both sides of the inequality (x+5>0). We get (x>- 5).

Answer:

A. The domain of (f) is ((-5,\infty))