What is the domain of the function f(x)=−4log_{2}(x+3)−6 ?

Enter answer

All real numbers greater than_____

I tried doing it myself but I am really confused

.

jjennylove
Oct 29, 2018

#1**+1 **

f(x) = -4 log _{2} ( x + 3) - 6

Note, Jenny, that this isn't as hard as it looks

We cannot take the log of 0 or a negative number...so...this implies that

x + 3 ≥ 0 subtract 3 from both sides

x ≥ -3

So....the domain is all real numbers greater than -3

CPhill
Oct 29, 2018

#2**+1 **

oh wow that is really simple. I was overthinking the entire problem. Thank You!

jjennylove
Oct 29, 2018