Functions can be the inverse of each other if: f g x = g f x = x
Meaning that if two functions, 'f', and 'g' exist, and if substitute the results of g(x) into f(x), and the results of f(x) into g(x), the functions are 'inverse' if the results equal the variable value. For example: If f x = x 2 and g x = x .
We can see what happens if we plug g(x) into f(x), and f(x) into g(x):
x 2 = x 2 = x
After all the substitutions are made, all that is left is 'x', meaning the functions are inverse of each other. The notation for an inverse function is
f -1 x
Determining the inverse function is a matter taking the function in question, swapping 'x' and 'y', and solving the equation for 'y'. For example, If g x = 2 x + 7 find g -1 x
Evaluating inverse functions.
Show sender reference
Log in to my Electric Book site.

Electric Book-Link (e-Blink) URL:

The URL listed above can be inserted into your postings or e-mails; it will point to the text or area of the graph that you have selected.
To insert the link:

  • Drag your mouse across any text in the green problem area, or
  • Drag your mouse to form a selection box on the green graph area
  • Open the e-Blink tab to display this tab.
  • Copy the text above to your clipboard
  • When editing a note to your community or editing your e-mail, select some text and press the link button.
  • Paste your link into the text box for the URL.