Identify the domain of the function. $f ( x ) = 3.8 \ln ( x + 1 )$
A) $( 0 , \infty )$
B) $( - \infty , \infty )$
C) $( - 1 , \infty )$
D) $( - \infty , 1 )$

Question

Quizplus · Accepted Answer

The natural logarithm function, $\ln(x)$, is defined for $x > 0$. For $f(x) = 3.8 \ln(x + 1)$, the argument of the logarithm, $x + 1$, must be greater than 0. Solving $x + 1 > 0$ gives $x > -1$, so the domain is $(-1, \infty)$.

Identify the Domain of the Function f(x)=3.8ln⁡(x+1)f ( x ) = 3.8 \ln ( x + 1 )f(x)=3.8ln(x+1)

Identify the Domain of the Function $f ( x ) = 3.8 \ln ( x + 1 )$