what is the domain of ( y = log_4(x + 3) )?\nall real numbers less than -3\nall real numbers greater than…

what is the domain of ( y = log_4(x + 3) )?\nall real numbers less than -3\nall real numbers greater than -3\nall real numbers less than 3\nall real numbers greater than 3

Answer

Explanation:

Step1: Recall the domain of logarithmic function

For (y = \log_a(u)), the argument (u>0). Here (u=x + 3) and (a = 4).

Step2: Solve the inequality

Set up the inequality (x+3>0). Subtract 3 from both sides: (x+3-3>0 - 3), which simplifies to (x>-3).

Answer:

all real numbers greater than (-3)