Question

Please Help will give medal

Answer 1

How do I find the inverse function of this, and check my answer?
I need a detailed explanation please

Answer 2

well first what are the steps for finding an inverse operation??

Answer 3

umm

Answer 4

1. First, replace with y. This is done to make the rest of the process easier.
2. Replace every x with a y and replace every y with an x.
3. Solve the equation from Step 2 for y. ...
4. Replace y with . ...
5. Verify your work by checking that and are both true.

Answer 5

x = (y^2 + 3)/(3y^2)

Answer 6

there you go

Answer 7

So thats it?

Answer 8

yeah thats the steps to solving that equation
so lets say..
Here's how the process works:

Here's my original function:

y = 3x - 2
Now I'll try to solve for "x =":

y + 2 = 3x

(y + 2)/3 = x
Once I have "x =", I'll switch x and y; the "y =" is the inverse.

y = (x + 2)/3

Answer 9

then x=2 gives y=7/12

Answer 10

perfect

Answer 11

so sub x=7/12 into y=sqrt(3/(3x-1)

Answer 12

uhhh... what?

Answer 13

oh okay my bad i was lost for a second

Answer 14

Wait im lost

Answer 15

lol i forgot to plug the square rool into the equation you were right

Answer 16

sub x=(1/3 + 1/x^2) into
sqrt(3/(3x-1)?

Answer 17

yup

Answer 18

and then so forth

Answer 19

So f^-1(x) = √(3/(3x-1))

Answer 20

Okay thanks

Answer 21

*clap clap* thats the final answer

Answer 22

Thanks alot

Answer 23

mhm

Answer 24

its no problem