The function operations calculator assists you to perform basic operations of algebra (brackets, addition, subtraction, multiplication, and division). The operations on functions are determined by the BODMAS symmetry. The BODMAS is known as universal when the operation sequence is implemented on the arithmetical operations. The BODMAS is the abbreviation OF Bracket, Order, Division, Multiplication, Addition, and subtraction. The sequence of operations should be followed in the same order when performing various arithmetic operations

In mathematics, a function is defined as a relationship between the dependent and independent variables. You can join functions by addition, subtraction, multiplication, or division operation. We can use operations on the functions calculator to solve the functions.

**How to Combine Functions?**

The BODMAS is used to implement the arithmetic functions and their operations. You need to learn the basic formula of functional operations and their implementation. These are the formulas implemented when performing addition, subtractions, multiplications, and division.

These functions and their operations on functions are as follows:

**For sum operation:**

*f*** and g: (f + g)(x) = f (x) + g(x).**

**For subtraction operation:**

*f*** and g: (f – g)(x) = f (x) – g(x).**

**For product operation:**

*f*** and g: (fg)(x) = f (x)×g(x).**

**The quotient operation:**

**of division f and g: **

**(****)( x) = **

**when g(x) = 0,**

Then the quotient is undefined.

The performing indicated operation calculator is used in solving the operations of the above function

**How to Solve Functions?**

We can define the basic operation in another way, for example, if we have two functions *f* (*x*) and *g*(*x*), then we can also write the (*f*o*g*)(*x*) can be used to find the product of the functions.

We can explain it as:

Let’s consider two functions

*f* (*x*) = 4* and g*(*x*) = *x* + 3

Then (*f*o*g*)(*x*)?,

we can find it as

(*f*o*g*)(*x*) = *f* (*g*(*x*)) = 4(*x* + 3) = 4*x* + 12.

The operations of the function calculator also provide the answer in this style of operation sequence.

**Types of Operation Functions in Algebra:**

Types of operation functions in algebra are as follows:

- Polynomial function
- Logarithmic function
- Linear function
- Quadratic function
- Power function
- Exponential function

**Practical Example 1:**

We perform the addition operation on the following example:

Consider functions f(x) and g(x), we apply addition of these functions.

f(x)=x-5

g(x)= 4x+1

(f+g)(x)=f(x)+g(x)

(f+g)(x)=(x-5)+(4x+1)

(f+g)(x)=x+4x-5+1

(f+g)(x)=5x-4

The function operations calculator can be used to find the addition of two arithmetic functions.

**Practical Example 2:**

We perform the subtraction operation on the following example

Consider functions f(x) and g(x), we apply subtraction of these functions.

f(x)=4x-5

g(x)= 3x+1

(f-g)(x)=f(x)-g(x)

(f-g)(x)=(4x-5)-(3x+1)

(f-g)(x)=4x-3x-5-1

(f-g)(x)=x-4

**Example 3:**

We perform multiple operations on the following example

Consider functions f(x) and g(x), we apply multiple of these functions.

f(x)=2x-2

g(x)= x+1

(f×g)(x)=f(x)×g(x)

(f×g)(x)=(2x-2)×(x+1)

(f×g)(x)=(2x)(x)+(2x)(1)-(2)(x)-(2)(1)

(f×g)(x)=2x^2+2x-2x-2

(f×g)(x)=2x^2-2

Arithmetic operations on a function calculator swiftly find the value of the arithmetic multiplication operation

**Example 4:**

We perform the division operations on the following example

Consider functions f(x) and g(x), we apply division of these functions.

f(x)=4x+4

g(x)= x+1

(f÷g)(x)=f(x)÷g(x)

(f÷g)(x)=(4x+4)÷(x+1)

The quotient of two functions calculator is specially designed to find the quotient value when dividing the algebraic functions.

**Conclusion:**

The function operations calculator makes it possible to learn to apply the function operating on the algebraic functions. You need to distinguish how to apply addition, subtraction, multiplication, and division operation on various functions. It is essential to learn the BODMAS rules to apply the operation sequence to various algebraic functions. In other regions of the world, there can be other names PEMDAS to BODMAS, but it doesn’t affect the sequence of the operation.