Question

Help! File attached.

Answer 1

(g/f)(x) means g(x) divided by f(x)

Answer 2

this is the same as the other one, only flipped

Answer 3

I just noticed that! so would it be d?

Answer 4

yes
they don't have much imagination do they?

Answer 5

i dont think so... why wouldnt it be b? i dont understand that

Answer 6

i guess it could be B but since the denominator is \(2x+1\) you have to make sure that it isn't zero, so if \(2x+1\neq 0\) then \(x\neq -\frac{1}{2}\)

Answer 7

all they are adding is that the domain of the function does not include the number \(-\frac{1}{2}\)

Answer 8

how do u know that it doesnt include - 1/2?

Answer 9

because you cannot divide by zero, i.e. you cannot have a fraction with a zero in the denominator

Answer 10

if \(x=-\frac{1}{2}\) then \(2\times (-\frac{1}{2})+1=-1+1=0\) making your denominator equal zero,
if you try to divide by zero, you will explode and the universe will end

Answer 11

:) ok i understand now