Find the domain of the function and express the domain in interval notation. $$f ( x ) = \log ( 5 x + 5 )$$
A) $[ - 1,1 ]$
B) $( - 1 , \infty )$
C) $( 0 , \infty )$
D) $( 1 , \infty )$

Question

Quizplus · Accepted Answer

For the logarithmic function $\log(5x + 5)$ to be defined, the argument $5x + 5$ must be greater than 0. Thus, $5x + 5 > 0$, which simplifies to $x > -1$. Therefore, the domain in interval notation is $(-1, \infty)$.

Find the Domain of the Function and Express the Domain f(x)=log⁡(5x+5)f ( x ) = \log ( 5 x + 5 )f(x)=log(5x+5)

Find the Domain of the Function and Express the Domain $f ( x ) = \log ( 5 x + 5 )$