ngl cant remember how to do these things, pls help
#Inverse Function
lilac bridge
twin tapir
its cube root of x
Since you swap the x and y basically
y=x^3
then x=y^3
y=cuberoot of x
then ig u could ssubstitute values of x and y
@lilac bridge
but obv u know the general shape
lilac bridge
yeah ik its the cube root of X but when plotting the coordinates, idk if id do (cube root of 2, 2) as a plot
twin tapir
no
you would do (2, cube root of 2)
f(x) = cuberoot(x)
so lets say u substitute to
the coordinate would be (2, cube root of 2)
lilac bridge
if ur cube rooting the x, wouldnt it be then (cube root 2, 8)?
twin tapir
if ur cube rooting the x, wouldnt it be then (cube root 2, 8)?
if you substitute in cube root 2, then it would be (cube root 2, cube root of cube root of 2)
lilac bridge
why u substituting cube root of 2?
twin tapir
nah im just saying
to show how it works
basically f(2)=cube root 2
therefore f(x)=cube root x
The x value is like the variable that you are changing
(substituting)
and then y changes according to x
lilac bridge
The x value is like the variable that you are changing
nah ik, im being stupid rn
frosty onyx
Basically the inverse is y= cube root of x
Meaning if I sub x=8... I would get the y value of 2 innit? Because y= cube root of x i.e. 8
In the above graph... if u draw it on desmos, you will see that when x=8, y=2
Also, draw the graph on desmos and see that when x=27 y will be....?
You should know the ans
lilac bridge
In the above graph... if u draw it on desmos, you will see that when x=8, y=2
wdym x=8, y=2, on the graph its plotted (-2, -8) and (2, 8)
frosty onyx
No its not!
lilac bridge
ngl cant remember how to do these things, pls help
this graph
frosty onyx
I am talking about the inverse graph
lilac bridge
oh right
wait so when you do the inverse function of a coordinate does the x and y swap around?
then in this case cube root both points
and plot it, ok if it is i swr ive not done something like this in class
frosty onyx
wait so when you do the inverse function of a coordinate does the x and y swap a...
Well ... yeah in inverse function it does. This is what we do in year 13 maths chapter 2
lilac bridge
haha no clue what that is, england must teach it differently
frosty onyx
then in this case cube root both points
You dont really cube root the points
frosty onyx
haha no clue what that is, england must teach it differently
Which country are you in?
lilac bridge
scotland
frosty onyx
Do you have till year 14 in scotland?
lilac bridge
You dont really cube root the points
wdym u dont cube root the points, if its x^3 and the inverse is cube root x wouldnt u cube root the points?
lilac bridge
Do you have till year 14 in scotland?
nah, we have 7 years of primary school and 6 years of highschool, usually start primary school at 4/5
lilac bridge
s5 which is year 12
frosty onyx
When do you have your scottish advance higher after which u go to uni?
In how many years do you have that
lilac bridge
next year
frosty onyx
Oh cool
lilac bridge
our nat5 course is 2 years, higher is 1 year and advanced higher is 1 year
frosty onyx
Ohh... well in england we do A (advanced) levels after secondary school of 2 years after which we go to uni
Anyways, lets come back to the ques
lilac bridge
Anyways, lets come back to the ques
lol yeah
frosty onyx
wdym u dont cube root the points, if its x^3 and the inverse is cube root x woul...
Which points are you talking about. If you have a graph of f(x) and u got coordinates (2,8) then u wouldnt cube root them to find the coordinates of the graph f inverse (x)
lilac bridge
u wouldnt?
frosty onyx
You wouldnt do cube root 2 and cube root 8 to find the coordinates of the inverse graph
frosty onyx
No its affecting both x and y
lilac bridge
if u dont cube root whats the point of knowing the inverse of x^3 is cube root of x
frosty onyx
I have no problem to discuss this on chat but if you like do you wanna come on voice chat?
lilac bridge
lmao sure ig
frosty onyx
Cool