Question

What is the inverse of g of x equals the quantity x plus 8 divided by 3?

Answer 1

does your equation look like \[g(x) = \frac{ X + 8 }{ 3 }\] ?

to make it easier i replace the g(x) with y, then switch the x and y values then solve for y again so it would look like this:

\[X = \frac{ y + 8 }{ 3 }\]

then you should solve for y.

Answer 2

yes it does look like the first one but I am having trouble solving for y

Answer 3

So the first step, in my opinion would be to get the 3 to the other side. To get rid of the 3 you should multiply both sides by 3.

Answer 4

so it would look like this, \[3x = y + 8\]

Answer 5

should my final answer be x=3x-8?

Answer 6

yeah, except it would be Y = 3x - 8 is the inverse of g(x)

Answer 7

is this textbook work?

Answer 8

no online school homework

Answer 9

is there a way for you to check your answers?

Answer 10

its multiple choice if that helps? but other than that no

Answer 11

ah, well goodluck. Did that make sense to you?

Answer 12

yes, thank you!

Answer 13

No problem