Real Valued Function with example

Introduction:
            A function whose range is within the real numbers be assumed to be a real function, moreover called a real-valued function. During math, a real-valued function is a function to associates near each part of the domain a real number within the image. f be a function as of set A toward a set B but all element x within A be able to be related through a unique element within B. It can be written as, `f:A->B` 

Examples of Real Valued Functions:

A real valued function f : A to B or just a real function 'f ' be a rule which associates near all feasible real number xε A, a unique real number f(x)εB, while A with B are subsets of R, the set of real numbers.
In further words, functions whose domain with co-domain be subsets of R, the place of real numbers, be call real valued functions.
Example:
Solve the field of the real valued square root function f known .
f(x) = sqrt(4x)
Solution :
The known function be as follow

f(x) = sqrt(4x)
This collected square root function. The domain be establish through Finding  the inequality

4x > = 0.
The answer set for the exceeding dissimilarity be the domain along with is specified through the interval
(0 , +infinity)
Problem 3: Solve the domain of the real valued rational function f known below.
f(x) = (x - 1) / (x - 3)


Hope you liked the above example. Please leave your comments, if you have any doubts.