Question

Non-Linear Mapping Transformations:

f(x) = |x|

If we apply the mapping:
T(x,y) = (e^x , y)

What will be the new equation?

Answer 1

\[f(x)=|x|\\T(x,y) = (e^x,y)\]

Answer 2

its kind of confusing since the first funciton maps R to R but the seocnd maps R^2 to R^2

Answer 3

I think it's like
\[f(x) = |ln{x}|\]
Since that's the inverse....

Answer 4

TBH, Im not sure what your trying to do here, can you explain the question alittle bit more

Answer 5

So we have
f(x) = |x|
as our parent function.
I wanted to know what the new function would be after the mapping of
\[T(x,y)=(e^{x},y)\]

Answer 6

so you what to know what si T(f(x))?

Answer 7

wouldnt it be (e^abs(x),y)?

Answer 8

T(x,y) is mapping notation. I'm pretty sure that for the x, you would need to find the inverse of it.

Answer 9

maybe my brain is not working right now, but I am not understnaindg anything

Answer 10

so what is this thing that you need? is it T(f(x)) or f(T(x)) or something else?

Answer 11

f(T(x)) doesnt make sense becuase output of T is in R^2 and input of f is in R

Answer 12

like if we have a function
f(x) = x
And we apply
T(x,y) = (3x,y+1)
The new function would be
f(x) = (x/3) + 1

Answer 13

That's what a mapping notation is essentially.

Answer 14

T(x,y) is not a function, it's a mapping notation

Answer 15

I totally dont see a difference between mapping and function

Answer 16

sorry Im a biochemist not mathmatician so a lot of math I do everything are just routine calculation

Answer 17

yayy you finally got a profile pic mhchen!

Answer 18

It's Elsa and leenathan's cult

Answer 19

okay whatever, thanks for trying though. I think I got it myself, I can't stay on this question too long because I have a ton of others to review

Answer 20

I still dont quite understand this mapping thngy, so Im gonna fromulate in my own language and you tell me if it is right

Answer 21

T(x,y)=(f(x),g(y)), then the function you want is g( f^-1(x))

Answer 22

thats why you take 3x and turned it to x/3 then add 1