So far we have spent three lessons on functions: Function, FunctionCompo, and FunctionExpo. It may be helpful for you to review these before continuing to today's lesson. Now we will look at the inverse of a function. This concept appeared often last year: 16 times with a median placement at question # 74.
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An example of a typical function is: f(x) = x + 4. The inverse of this function would be g(y) = y - 4. An inverse of a function "reverses" the function, so that if the function applied to x gives an output of y, then the inverse function of y gives an output of x (and vice versa). So f(x) and g(y) are inverses of each other if f(x) = y and g(y) = x.
How to Solve:
- Set y equal to the equation.
- Switch the x and y variables.
- Solve for y.