Inverse functions are complementary to standard functions and represent the equation necessary to determine what initial value was used to derive the returned value. Inverse functions are commonly introduced in intermediate/advanced algebra courses and play a key role in introductory and intermediate calculus. It is important to note that an inverse function is not simply the value of a function inversed by raising to a negative exponent. The process of determining an inverse exponent is often used to check a correlation between dependent and independent variables.
Instructions
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1
Convert the supplied function into equation form. For example, f (x) = 3x + 5 -> y = 3x + 5.
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2
Solve the equation for "x." Continuing, y = 3x + 5 -> x = (y - 5) / 3.
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3
Convert the equation back into function notation. In conclusion, x = (y - 5) / 3 -> f (y) = (y - 5) / 3. Notice that the function has changed from f (x) to f (y), this is because the equation is now a function of the "y" variable.