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 $y = f(x)$. $f(x)=ln(x + 5)-4$ select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the domain of $f$ is $(-5,infty)$. (type your answer in interval notation. use a comma to separate answers as needed.) b. the domain of $f$ is empty. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the $x$-intercept(s) of $f$ is $x=square$. (type an exact answer. use a comma to separate answers as needed.) b. the function $f$ has no $x$-intercepts.

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of $y = f(x)$. $f(x)=ln(x + 5)-4$ select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the domain of $f$ is $(-5,infty)$. (type your answer in interval notation. use a comma to separate answers as needed.) b. the domain of $f$ is empty. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the $x$-intercept(s) of $f$ is $x=square$. (type an exact answer. use a comma to separate answers as needed.) b. the function $f$ has no $x$-intercepts.

Answer

Explanation:

Step1: Find the (x) - intercept

Set (y = f(x)=0), so (\ln(x + 5)-4=0). Add (4) to both sides: (\ln(x + 5)=4). Using the property (y=\ln u) implies (u = e^{y}), we have (x+5=e^{4}). Subtract (5) from both sides: (x=e^{4}-5).

Answer:

A. The (x) - intercept(s) of (f) is (x = e^{4}-5)