Inputing Values into a Function

Generally, a numerical value is assigned in equations with variables or in mathematical expressions that include variables.

The assignment involves changing the variables in a mathematical expression or equation to specific numerical values.

For example

$X=3$

$Y=2$

$Z=\text{?}$

$X^2+Y=Z$

$3^2+2=11$

Answer: $Z=11$

By assigning the numerical value, the general form becomes a particular case.

Detailed explanation

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Test yourself on domain of a function!

$\frac{6}{x+5}=1$

What is the field of application of the equation?

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If you are interested in this article, you may also be interested in the following articles:

Graphical Representation of a Function

Algebraic Representation of a Function

Function Notation

Domain of a Function

Indefinite Integral

Variation of a Function

Increasing Function

Decreasing Function

Constant Function

Functions for Seventh Grade

Intervals of Increase and Decrease of a Function

Table of Values

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Examples and exercises with solutions for assigning numerical value in a function

Exercise #1

$\frac{6}{x+5}=1$

What is the field of application of the equation?

Video Solution

Answer

$x\operatorname{\ne}-5$

Exercise #2

$\frac{x+y:3}{2x+6}=4$

What is the field of application of the equation?

Video Solution

Answer

$x\operatorname{\ne}-3$

Exercise #3

$\frac{3x:4}{y+6}=6$

What is the field of application of the equation?

Video Solution

Answer

$y\operatorname{\ne}-6$

Exercise #4

$22(\frac{2}{x}-1)=30$

What is the domain of the equation above?

Video Solution

Answer

x≠0

Exercise #5

$2x+\frac{6}{x}=18$

What is the domain of the above equation?

Video Solution

Answer

x≠0

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Test your knowledge

Question 1

$\frac{x+y:3}{2x+6}=4$

What is the field of application of the equation?

Question 2

$\frac{3x:4}{y+6}=6$

What is the field of application of the equation?

Question 3

$22(\frac{2}{x}-1)=30$

What is the domain of the equation above?

Start practice