Question

what is the domain of f(x)=log2(x+3)+2?

A. x > -3
B. x > -2
C. x > 2
D. x > 3​

Answer 1

Answer:

A. x > -3

Step-by-step explanation:

$\text{We know}\\\\\log_ab\ \text{is exist for}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0.\\\\\text{Therefore the domain of}\ f(x)=\log_2(x+3)+2\ \text{is}\\\\x+3>0\qquad\text{subtract 3 from both sides}\\\\x>-3$