Write a C program to calculate the value of f(x) if x has different ranges of values as below.f(x) = x2 + 2if 0<=x<=10f(x) = x2 + 2x   if 11<=x<=20f(x) = x3 + 2x2 if 21<=x<=30f(x) = 0   if x > 30

Sure, here is a step-by-step solution to write a program in C to calculate the value of f(x) based on different ranges of values:

1. Start by including the necessary header files:

#include <stdio.h>

2. Define the function calculate_fx to calculate the value of f(x) based on the given ranges:

int calculate_fx(int x) {
    int result;

    if (x >= 0 && x <= 10) {
        result = x * x + 2;
    } else if (x >= 11 && x <= 20) {
        result = x * x + 2 * x;
    } else if (x >= 21 && x <= 30) {
        result = x * x * x + 2 * x * x;
    } else {
        result = 0;
    }

    return result;
}

3. In the main function, prompt the user to enter the value of x and call the calculate_fx function to calculate the value of f(x):

int main() {
    int x, fx;

    printf("Enter the value of x: ");
    scanf("%d", &x);

    fx = calculate_fx(x);

    printf("The value of f(x) is: %d\n", fx);

    return 0;
}

4. Compile and run the program. The user will be prompted to enter the value of x, and the program will calculate and display the value of f(x) based on the given ranges.

Note: Make sure to save the file with a .c extension, such as calculate_fx.c, before compiling and running the program.