Why are you mutlipling the function and it’s inverse? The statement f^-1(f(x)) = f inverse of (f of x)
#Is this right or no
shut hemlock
sage dust
Why are you mutlipling the function and it’s inverse? The statement f^-1(f(x)) =...
Sooo, f^-1(f(x)) = f^1(x) ?
shut hemlock
Sooo, f^-1(f(x)) = f^1(x) ?
No. The rule of inverses is that f^-1(f(x)) = f(f^-1(x)) = x for all values x where both f(x) and f^-1(x) are defined
sage dust
I don't get that at all but #2 should be this then?:
f(f^-1(x)) = (3√x-7)+7^3
unreal furnace
I don't get that at all but #2 should be this then?:
f(f^-1(x)) = (3√x-7)+7^3
When you say f^(-1)(f(x)), what you're doing is taking f^(-1)(x) and putting whatever f(x) is in the place of the x in f^(-1)(x).
sage dust
That's what I did right? Or did I get #2 and #3 mixed up??
unreal furnace
No, that's not what you did. At all. You did f(x) * f^(-1)(x).
sage dust
Right right I meant in my Discord message
unreal furnace
Still no. That's just cbrt(x) - 336.
sage dust
so if f(x) is (x+7)^3
then f(f^-1(x)) is just (x+7)^3, but with the inverse of f(x), which is (3√x-7), put in place of x, so it would look like (3√x-7)+7^3 or am I just not getting it
shut hemlock
so if f(x) is (x+7)^3
then f(f^-1(x)) is just (x+7)^3, but with the inverse of ...
(3root(x) - 7** +7**)^3
The plus 7 is inside the parathenses
sage dust
Yeah sorry I didn't know if there was a symbol or some way to word 3root(x) that's what I meant by 3√x
shut hemlock
Yea I can’t even do that root symbol on mobile
sage dust
Oh I just looked it up and copy pasted lol
unreal furnace
That's why I typed cbrt(x).
sage dust
so then f^-1(f(x)) = (3root(7^3)-7) ?
sage dust
That's why I typed `cbrt(x)`.
That went over my head, I didn't know that's what cbrt meant
unreal furnace
That went over my head, I didn't know that's what cbrt meant
"cube root".
sage dust
Ohh ok
unreal furnace
so then f^-1(f(x)) = (3root(7^3)-7) ?
...there's no x. That's just a constant.
unreal furnace
f^-1(f(x)) = (3root(x+7^3)-7)
Parentheses.
sage dust
*Parentheses.*
unreal furnace
...no.
sage dust
this is so annoying
unreal furnace
I agree.
sage dust
How is it wrong though like I physically don't get it
unreal furnace
(x + 7^3) = x + 343
(x + 7)^3 = x^3 + 21x^2 + 147x + 343```Oh so it was just a problem of where I put the ^3
scarlet lark
I see
sage dust
is #2 or #3 wrong or are they both wrong
unreal furnace
...which one has cbrt(x - 7) in it?
sage dust
so the cute root shouldn't be that long it should only go over the x then
I just realized I put 2 ( in #3
scarlet lark
so the cute root shouldn't be that long it should only go over the x then
The cute root
scarlet lark
This is right now
sage dust
This is right now
FINALKLY
scarlet lark
Yes Zac
sage dust
I slayed
scarlet lark
Yes Zac