Composite Functions Calculator

Guide to Using the Composite Functions Calculator

Step 1: Choose Your Functions

Begin by selecting the functions you wish to work with. Each composite function consists of two functions, f(x) and g(x).

• Select First Function (f(x)):

  Choose from Linear, Quadratic, Exponential, or Logarithmic functions in the dropdown menu provided. This selection is mandatory.

• Select Second Function (g(x)):

  Similar to the first function, select one of the available function types: Linear, Quadratic, Exponential, or Logarithmic. This selection is also required.

Step 2: Enter Required Values

Input the necessary values and coefficients. These inputs must be filled out before proceeding.

• Enter x value:

  Provide the x value for which you want to calculate the functions. This should be a numerical value and must be entered with a step of 0.1.

• Coefficients for f(x):
  • Enter Coefficient a.
  • Enter Coefficient b.
  • Enter Coefficient c (if necessary for Quadratic).
• Coefficients for g(x):
  • Enter Coefficient a.
  • Enter Coefficient b.
  • Enter Coefficient c (if necessary for Quadratic).

Step 3: Calculate the Functions

With all inputs provided, the calculator will compute the following results:

• f(x):

  The value of the first function with your provided x and coefficients.

• g(x):

  The value of the second function with your provided x and coefficients.

• f(g(x)):

  The composite function where g(x) is substituted into f(x).

• g(f(x)):

  The composite function where f(x) is substituted into g(x).

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