"File: inverse"

"USER FUNCTIONS"

INVERSE(y):=ITERATE(y,x,x,-1)

PICTURE(y):=[[x,y],[y,x]]

"#########################################"

"INSTRUCTIONS"

"INVERSE(Y) returns the inverse of y=f(x)"

"The effectiveness of the INVERSE function is limited."

"PICTURE(Y) provides a parametric plot of [x,y]"

"together with its inverse relation [y,x]."

"Appropriate parameter limits must be chosen"

"to make the inverse relation a function."

"########################################"

"Example 1"

"Simplify the following to calculate the inverse of $y=x^2+x"

INVERSE(x^2+x)

"Simplify the following and then Plot to see"

"the graph of y=x^3+sinx and the graph of its inverse"

PICTURE(x^3+SIN(x))