Inverse Functions Calculator

The Inverse Functions Calculator allows users to select a mathematical function type and input a number to compute the inverse of that function, providing results for the inverse function, the original function value, and a validity check for the inverse operation.

Use Our Inverse Functions Calculator

Step-by-Step Guide to Using the Inverse Functions Calculator

Introduction

This guide will walk you through how to use the Inverse Functions Calculator, which helps you find the inverse of a function for a given input value. The calculator supports various function types such as exponential, logarithmic, square, square root, cube, and cube root.

Step 1: Selecting the Function Type

Begin by selecting the type of function for which you wish to determine the inverse. Here are the steps:

  • Locate the Function Type dropdown menu.
  • Click on the dropdown menu to see the list of available function types. These include:
    • Exponential (exp)
    • Logarithmic (ln)
    • Square (x²)
    • Square Root (√x)
    • Cube (x³)
    • Cube Root (∛x)
  • Select the function type that matches the function you are working with. This step is crucial as it determines the appropriate inverse calculation.

Step 2: Entering the Input Value

Next, you need to provide the input value for which you want to calculate the inverse. Follow these instructions:

  • Find the field labeled Input Value.
  • Enter the number you wish to use in your calculation into this field. Ensure that the number is non-negative, as indicated by the validation requirement.

Step 3: Reviewing the Results

Once you have selected the function type and entered the input value, the calculator will automatically display the results for you. Here’s what you’ll see:

  • Inverse Function Result: This field shows the result of the inverse function calculation, rounded to four decimal places.
  • Original Function: This field displays the value of the original function applied to the calculated inverse, also rounded to four decimal places.
  • Composite Function Check (f(f⁻¹(x))): This check verifies the accuracy of the inverse function. A value of 1 indicates a valid inverse, while 0 indicates an issue.

Conclusion

By following these steps, you can effectively use the Inverse Functions Calculator to find and verify the inverse of various function types. Remember that selecting the appropriate function type is crucial for ensuring accurate calculations.