(50g) Inverse Function

02052020, 03:17 PM
(This post was last modified: 02052020 03:25 PM by peacecalc.)
Post: #4




RE: (50g) Inverse Function
Hello,
@Albert Chan: I know of the geometrical work around, but of course the more interesting question is to find the inverse of a function with the calc, numerical better then nothing. The official handbooks even shows a program "ROOTR" which works in the same way, but with three variables (name of inverting function, name of solving variable and starting value). In a more exact view, the mirrored graphing is dued to the change of the variables after the algebraic inverting procedures: f. example: 1) y = x^2 + 16; with x in IR and y in [16 ; + infinity[ 2) x_1 = sqrt(y  16) and x_2 =  sqrt(y16); with y in [16 ; + infinity[ and x_1 in [0; + infinity[ and x_2 in ]  infinity; 0[ Here is the graph the same as in 1) you only changed the direction of view in the graph (in 1) x > y and in 2) y > x), nothing else. More precisely, x_1 is the domain of the right part of the graph and x_2 marks the left part. 3) Now you change x_1 to y_1 and x_2 to y_2 and y becomes x, voila the graph changes. @Joe Horn, thank you, you beat me in reaction. Sincerely peacecalc 

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Messages In This Thread 
(50g) Inverse Function  peacecalc  02052020, 08:43 AM
RE: (50g) Inverse Function  Albert Chan  02052020, 11:03 AM
RE: (50g) Inverse Function  Joe Horn  02052020, 01:09 PM
RE: (50g) Inverse Function  peacecalc  02052020 03:17 PM
RE: (50g) Inverse Function  peacecalc  02052020, 06:47 PM

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