what is the domain of $y = \\log_4(x + 3)$?\no all real numbers less than -3\no all real numbers greater…

what is the domain of $y = \\log_4(x + 3)$?\no all real numbers less than -3\no all real numbers greater than -3\no all real numbers less than 3\no all real numbers greater than 3

what is the domain of $y = \\log_4(x + 3)$?\no all real numbers less than -3\no all real numbers greater than -3\no all real numbers less than 3\no all real numbers greater than 3

Answer

Explanation:

Step1: Recall log - function domain rule

For $y = \log_a(u)$, the argument $u>0$. Here $u=x + 3$. So we have the inequality $x+3>0$.

Step2: Solve the inequality

Subtract 3 from both sides of $x + 3>0$. $x+3-3>0 - 3$, which simplifies to $x>-3$.

Answer:

all real numbers greater than -3