How do I find the inverse on my TI 84 calculator

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

  1. 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.
  2. Access the TRACE menu: Press the “2nd” key followed by the “TRACE” key.
  3. Select Inverse: Choose option “5: Inverse”.
  4. 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.
  5. Graph the inverse: Press “ENTER” to graph the inverse function. The inverse function will be represented by a different color than the original function.
  6. 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

  1. 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.
  2. Access the MATH menu: Press the “2nd” key followed by the “MATH” key.
  3. Select NUM:Inverse:** Choose option “1: NUM:Inverse”.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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).
  9. 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.

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