f(x)=4log(x+2)-3
find the domain, x and y intercepts, and inverse

Question

f(x)=4log(x+2)-3
find the domain, x and y intercepts, and inverse

terenzreignz · Answer

What could go inside a log?

anonymous · Answer

is it log base 10?

terenzreignz · Answer

I don't know, is it?
I'd assume so :P

anonymous · Answer

how would i find the domain for this?

terenzreignz · Answer

at the moment, it doesn't really matter what log base it is... but what can go inside a log?

anonymous · Answer

the exponent? i literally have no idea...sorry :(

terenzreignz · Answer

log can only take positive values...

anonymous · Answer

oh! okay so the domain is all positive values then! thank you!

terenzreignz · Answer

no!

anonymous · Answer

is it x=all positive values?

terenzreignz · Answer

No... because it's log(x+2) and not log(x)

anonymous · Answer

gotcha...then what would the domain be?

terenzreignz · Answer

Well, for one thing, x+2 should be positive

anonymous · Answer

i'm so confused, what does the +2 have to do with the overall domain?

terenzreignz · Answer

Well, if it was log(x)
we can't have x = -1 right?

anonymous · Answer

yes...so would the domain be all positive numbers above 2?

terenzreignz · Answer

No...

anonymous · Answer

well, if you solved (x+2)=0, x would be -2, but logs have to be positive...

terenzreignz · Answer

You mean x+2 > 0

anonymous · Answer

why is it greater than zero, the equation says equals...

terenzreignz · Answer

You need a review... big time :3

anonymous · Answer

that is true, i haven't done this since november haha. thanks for trying to help, i'll probably just ask my teacher