FUNCTIONS Inverse Functions (Page 6 of 9)

If two functions f and g are inverses, then f(g(x)) = x and g(f(x)) = x. We can test this numerically by evaluating both composition functions for several values of x.

For example, let's test the functions f(x) = x^3-12x^2+48x-62 and g(x) = cuberoot(x-2)+4. First enter the functions as Y1 and Y2.

 Y= key. (Clear any previous functions)

 X,T,theta,n key. Caret key. 3 Minus key. 12 X,T,theta,n key. x-squared key. Plus key. 48 X,T,theta,n key. Minus key.
 62 ENTER key.

 MATH key. 4: menu selection. X,T,theta,n key. Minus key. 2 Right parenthesis key. Plus key. 4 ENTER key.

 Calculator screen image.
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