a simple question aha

[Inside Out]

why does |e^x-2|= e^x+2

[onur369]

Its in a modulus function, the two pipes out site the function make everything positive.

[kamil9876]

clearly false. What if x=0? you get 1 for the LHS but 3 for the RHS.

[xZero]

Its in a modulus function, the two pipes out site the function make everything positive.

thts wrong, the graph of |e^x - 2| and e^x +2 is completely different

[nacho]

Its in a modulus function, the two pipes out site the function make everything positive.

Actually think of it like this:
let U be a number
|-U| = U
If U = 3x-4,
|3x-4| does not equal 3x+4. The modulus isn't a negative and positive sign, making all signs positive.

[r_damico]

Its in a modulus function, the two pipes out site the function make everything positive.

|e^x-2|= e^x-2 for when x > ln(2)
                   or
         = -e^x+2 for when x < ln(2)

a modulus takes the positive and negative of what ever is inside