Function Rule of Algebra

Algebra is branches of mathematics which deals with finding unknown variable from the given expression with the help of known values. The algebraic expression contains variables are represented alphabetic letters.

In algebra numbers are consids as constants, algebraic expression may include real number, complex number, matrices and polynomials. In algebra several identities to find the x values by using this we can easily find  the algebraic expression of the particular function. The function rule of algebra may be form  of f(x), p(x),… to find the x value of the algebra functions.

Example for function rule of algebra

(f + g)(x) = f (x)+ g (x)
(f – g)(x) = f (x) – g (x)
(f .g)(x) = f (x) . g (x)
(f/g )( x)=f(x)/g(x).


Function rule of algebra problem

problem using the function rules in algebra.

(f + g)(x) = f (x)+ g (x)
(f – g)(x) = f (x) – g (x)
(f .g)(x) = f (x) . g (x)
(f/g )( x)=f(x)/g(x).

Problem1; Rules for finding the function rules in algebra.

f(x) = 2 and g(x) = 2   find the addition function of (f+g)(x)

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f + g)(x) = f (x)+ g (x), (f + g)(x) = f (x)+ g (x), here f(x) and g() value is givnen

(f + g)(x) = f (x)+ g (x) this is the rules of the algebra fucntion, substitute the value in the equation.

(f + g)(x) =2+2.

(f + g)(x) =4.

f(x) = 2 and g(x) = 2   find the addition function of (f+g)(x)

Problem 2:  using the function rules of algebr find the value of (f+g)(x). if the value of f(x)=4 and g(x) =8.

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f + g)(x) = f (x)+ g (x), (f + g)(x) = f (x)+ g (x), here f(x) and g() value is givnen

(f + g)(x) = f (x)+ g (x) this is the rules of the algebra fucntion, substitute the value in the equation.

(f + g)(x) = 4 + 8

(f + g)(x) =12.

f(x) = 2 and g(x) = 2   find the addition function of (f+g)(x)

Problem 3:  using the function rules of algebr find the value of (f-g)(x). if the value of f(x)=4 and g(x) =8.

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f + g)(x) = f (x)- g (x), (f + g)(x) = f (x)- g (x), here f(x) and g() value is givnen

(f - g)(x) = f (x)- g (x) this is the rules of the algebra fucntion, substitute the value in the equation.

(f - g)(x) =8-4.

(f - g)(x) =4.

Function rule of algebra problem using multiplication and division

Rules of algebra function in the multiplication and division.

(f .g)(x) = f (x) . g (x)
(f/g )( x)=f(x)/g(x).

Problem 1:  using the function rules of algebr find the value of (f.g)(x). if the value of f(x)=4 and g(x) =8.

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f . g)(x) = f (x). g (x), (f . g)(x) = f (x). g (x), here f(x) and g(x) value is givnen

(f . g)(x) = f (x).g (x) this is the rules of the algebra fucntion, substitute the value in the equation.

(f . g)(x) =8*4.

(f . g)(x) =32.

Problem 2:  using the function rules of algebr find the value of (f.g)(x). if the value of f(x)=5 and g(x) =8.

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f . g)(x) = f (x). g (x), (f . g)(x) = f (x). g (x), here f(x) and g(x) value is givnen

(f . g)(x) = f (x).g (x) this is the rules of the algebra fucntion, substitute the value in the equation.

(f . g)(x) =5*8.

(f . g)(x) =40.

Problem 3:  using the function rules of algebr find the value of (f/g)(x). if the value of f(x)=4 and g(x) =8.

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f/g)(x) = f(x)/g(x), (f / g)(x) = f (x)/g (x) , here f(x) and g(x) value is givnen

(f /g)(x) =f(x)/g(x)  this is the rules of the algebra fucntion, substitute the value in the equation.

(f.g)(x) =4/8.

(f/g)(x) =1/2

Problem 4:  using the function rules of algebr find the value of (f/g)(x). if the value of f(x)=10 and g(x) =2.

Solution: In the givne function f(x) and g(x) values are given we need to find the (f+g)(x). Using the rules of the funcion (f/g)(x) = f(x)/g(x), (f / g)(x) = f (x)/g (x) , here f(x) and g(x) value is givnen

(f /g)(x) =f(x)/g(x)  this is the rules of the algebra fucntion, substitute the value in the equation.

(f/g)(x) =10/2.

(f/g)(x) =5