Composite Function Calculator

How to Use the Composite Function Calculator

Step 1: Select Functions

Begin by selecting the types of functions you wish to use for both f(x) and g(x).
This calculator supports several kinds of functions:

• Linear: In the form (ax + b)
• Quadratic: In the form (ax² + bx + c)
• Exponential: In the form (aᵇˣ)
• Logarithmic: In the form (log_a(x))

Step 2: Input Coefficients for the First Function (f(x))

Depending on the type of first function you selected, enter the required coefficients:

• For a linear, exponential, or logarithmic function, input coefficient a and b.
• For a quadratic function, also include coefficient c (note: this step is optional and depends on the function type).

Step 3: Input Coefficients for the Second Function (g(x))

Similar to the first function, enter the coefficients for the second function based on its type:

• For a linear, exponential, or logarithmic function, input coefficient a and b.
• For a quadratic function, also include coefficient c (this step is optional and depends on the function type).

Step 4: Provide the Value of x

Enter the value of x for which you want to calculate the function values and their composites.
Ensure the value is entered with a step of 0.1.

Step 5: View Results

The calculator will compute and provide results for:

• f(x) – The value of the first function at the given x.
• g(x) – The value of the second function at the given x.
• f(g(x)) – The composite function with g(x) as the input for f(x).
• g(f(x)) – The composite function with f(x) as the input for g(x).

The results will be displayed with up to four decimal places for precision.

Conclusion

By following these steps, you can efficiently use the Composite Function Calculator to evaluate complex mathematical function compositions.