## Answer:

Finding the inverse of a function on a TI-84 graphing calculator can be done using different methods depending on the specific type of function. Here’s a general approach:

**For Functions Defined Algebraically**

**Enter the function:**Press the “Y=” button and enter the function you want to find the inverse of. For example, to find the inverse of f(x) = x^2 – 1, enter “x^2-1” on the “Y=” screen.**Access the TRACE menu:**Press the “2nd” key followed by the “TRACE” key.**Select Inverse:**Choose option “5: Inverse”.**Enter an x-value:**Enter an x-value within the domain of the original function. This value will be used to find the corresponding y-value in the inverse function.**Graph the inverse:**Press “ENTER” to graph the inverse function. The inverse function will be represented by a different color than the original function.**Find y-values for given x-values:**Use the TRACE feature to move along the inverse function and find the corresponding y-values for any given x-value within the inverse function’s domain.

**For Functions Defined Parametrically**

**Enter the parametric equations:**Press the “F1” button to enter the parametric mode. On the “Y=” screen, enter the x-equation for the function in the “X1=” field and the y-equation in the “Y1=” field.**Access the MATH menu:**Press the “2nd” key followed by the “MATH” key.**Select NUM:Inverse**:** Choose option “1: NUM:Inverse”.**Enter the starting value:**Enter a starting x-value within the domain of the original parametric function. This value will be used to start the iterative process of finding the inverse.**Enter the step value:**Enter a step value that determines the increments along the parametric function. A small step value will result in a more accurate inverse function.**Enter the maximum number of iterations:**Enter the maximum number of iterations the calculator should perform to find the inverse function. A higher number will increase the accuracy for complex functions.**Enter the variable to be solved for:**Enter either “X” or “Y” depending on which variable you want to solve for in the inverse function.**Store the inverse function:**Press the “ENTER” key multiple times until the desired accuracy is reached. The inverse function will be stored in the appropriate variable (X or Y).**Graph the inverse function:**Press the “GRAPH” button to view the inverse function. The inverse function will be represented by a different color than the original parametric function.

Remember that finding the inverse of a function is not always possible, and the methods described above may not work for all types of functions.