'Round trips' in maths? non-invertable operations
- Author:
- Judah L Schwartz
Put in a function of one variable f(x) that can depend on up to three parameters a, b and c.
You can use the sliders to set the values of these parameters.
Why is
the square of the square root of f(x)
not always [i.e. only sometimes] equal to
the square root of the square of f(x) ?
Why is
the natural logarithm of e^[f(x)]
not always [i.e. only sometimes] equal to
e^[ln(f(x)] ?
Can you think of other mathematical 'Round trips'?
What questions could / would you ask your students based on this applet ?