Question

Perform the indicated operation and state the domain.

Let f(x) = 9x^-1 , g(x) = x^(1/4)

Answer 1

\[\frac{ f(x) }{ g(x) }\]

Answer 2

write one on top of the other

Answer 3

then subtract the exponents

Answer 4

\[\frac{ 9x ^{-1} }{ x ^{\frac{ 1 }{ 4 }} }\]

Answer 5

that is a good start

Answer 6

Couldn't I move the 9x^-1 down?

Answer 7

no

Answer 8

you can move bring the \(x^{-1}\) in the denominator as \(x\)
but the 9 is not glued to it, it stays up top

Answer 9

oh you're right, mb

Answer 10

So would it be something like

\[x ^{\frac{ 1 }{ 4 } - x^-1}\]
Since 1/4 is the larger number

Answer 11

it would be \[\large \frac{9}{x^{\frac{5}{4}}}\] since \[\frac{1}{4}+1=\frac{5}{4}\]

Answer 12

Oh, right, I don't know why I had the x there. I was thinking that though

Answer 13

Is that as far as I can go?

Answer 14

I have to go, but I'll be back on to check the question in about an hour. Thank you for all your assistance. Have a test tomorrow.

Answer 15

yes that is all

Answer 16

Ok, thank you