consider the function ( f(x)=ln (x + 1) ).\nfind the domain of ( f ). write your answer using interval…

consider the function ( f(x)=ln (x + 1) ).\nfind the domain of ( f ). write your answer using interval notation.\ngraph ( f ) on the grid below. label all asymptotes on your graph.

consider the function ( f(x)=ln (x + 1) ).\nfind the domain of ( f ). write your answer using interval notation.\ngraph ( f ) on the grid below. label all asymptotes on your graph.

Answer

Explanation:

Step1: Recall the domain of the natural logarithm function

The domain of (y = \ln(u)) is (u>0). For (f(x)=\ln(x + 1)), we set (u=x + 1).

Step2: Solve the inequality for (x)

We solve the inequality (x+1>0). Subtract 1 from both sides: (x>- 1).

Answer:

((-1,\infty))