What Is A Function in Algebra What Is A Function in Algebra Mathematics provides various types of solutions and techniques for continues flow of work. In the mathematics, we study about the concept of algebra. Algebra is the combination of numbers and variables (which are the unknown values in the expression). The concept of algebra helps in various fields to solve out the problem. With the algebraic equations, we can perform several other types of concepts like performing arithmetic operations and solving out the equation by using the different properties of mathematics. In the different way we can solve the problems like algebraic equation with decimals values, fractional values or rational and irrational numbers being used with them. Now here we are going to discuss about the Functions Algebra. Using the functions concept we need to solve the algebraic equations. The basic purpose of using functions is to define the addition, difference, multiplication and division of functions. There are various other types of functions which we will discuss later. Here we demonstrate you the basic function operations:
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First is sum of the function: according to this functionality we perform the addition of two different functional values. Let's see the example:
(a+b)(x)=a(x)+b(x)
Second is difference of the function: according to this operation we perform the subtraction or generate the difference value between the functions. Let's see below: ( a – b ) ( x ) = a ( x ) – b ( x ) Third is product of the function: according to this operation we perform the multiplication of the function. Lets see how: ( a * b ) ( x ) = a ( x ) * b ( x ) Fourth is quotient of the function: according to this operation we perform the division operation on the functions. Let's show you below:
(a/b) (x)=a(x)/b(x)
In the above operation we need to remember that the value of the function b ( x ) should not be equal to 0. Now we are going to show you the demonstration of the function by the following given example: Example: find the each function using different operation? a(x)=√x+1 , b(x)=√x–1 Solution: In the above question given that
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The value of function a ( x ) is = √ x + 1 The value of function b ( x ) is = √ x – 1 Now addition of function can be represented as a+ b = ( a + b ) ( x ) = (√ x + 1 + √ x – 1 ) Now above is the solution for the function value of a ( x ) and b ( x ). Like this we can perform the other operations with the functions.
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