Inverse Function Calculator

The Inverse Function Calculator allows users to input parameters for linear, quadratic, exponential, or logarithmic functions to calculate the original function, its inverse, and corresponding values at specific points.

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

Introduction

The Inverse Function Calculator is designed to help you find the inverse of various types of functions, as well as compute specific values for both the original and inverse functions. Follow the steps below to use the calculator efficiently.

Step 1: Select the Function Type

  1. Begin by selecting the type of function you wish to work with from the Function Type dropdown menu. The available options are:

    • Linear Function (f(x) = mx + b)
    • Quadratic Function (f(x) = ax² + bx + c)
    • Exponential Function (f(x) = ab^x)
    • Logarithmic Function (f(x) = a + b*ln(x))

    This selection is crucial as it dictates the coefficients you’ll need to enter in the subsequent steps.

Step 2: Enter Coefficients

  1. Input the necessary coefficients in the provided fields:

    • Coefficient a: Enter this value in the required field labeled “Coefficient a”.
    • Coefficient b: Enter this value in the required field labeled “Coefficient b”.
    • Coefficient c (for quadratic only): Enter this value in the optional field labeled “Coefficient c” if you selected a quadratic function.

    Ensure you adhere to the required step of 0.01 for numerical accuracy.

Step 3: Enter the x Value

  1. Provide an x value in the designated field. This value is crucial for calculating both f(x) and f⁻¹(x).

    Ensure it conforms to the required step of 0.01.

Step 4: Calculate Results

  1. After entering all necessary details, the calculator will automatically compute and display the following results:

    • Original Function f(x): Shows the mathematical expression of the function based on your inputs.
    • Inverse Function f⁻¹(x): Displays the inverse function expression of the original function.
    • f(x): Computes the function value at the specified x value.
    • f⁻¹(x): Computes the inverse function value at the specified x value.

    These results are formatted to a specific number of decimal places for precision.

Conclusion

By following these steps, you’ll be able to effectively use the Inverse Function Calculator to find both functions and their inverses alongside specific function values. Ensure that all inputs are accurate to get the most reliable outputs.