Mathematics Dealing With Functions

Introduction of mathematics dealing with functions:

The mathematics dealing with functions in the form of f(x) = 2x+3, we are assigning the value for variable x in the given function so that we can solve the functions  in math. Now we are given several values for variable x in the given function and finding the solution for each function. Example for s function is f(y)=19y+12,function f(2). Using the square equation solve a function rule  of f(x) = 2x2 +4x +28, function of f(2).

Example of mathematics dealing with functions:

f(2) = 2x+2 and  f(x) =` (x+2)/2` , here the variable of x is 2.

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Problems how to find mathematics dealing with functions in square equations


Problem 1 : Using  square equation find  the mathematics dealing with functions of f(9), when f(x) = `(x+2)/2` +2.

Solution : Here the variable is given as 9 find the function of f(9).

f(x) = `(x+2)/2` + 2 find the f(9)

The value of x is 9 is given

f(9) = ` (9+2)/2 ` + 2

f(9) =  `11/2 ` + 2

f(9) = 5.5+2

f(9) = 7.5

Problem 2 : Using  square equation find  the mathematics dealing with functions of f(8), when f(x) = `(x+3)/4` +12.

Solution :

Here the variable is given as 8 find the function notation of f(8).

f(x) =`(x+3)/4 ` +12 find the f(8)

The value of x is 8 is given

f(8) = `(8+3)/4 ` +12

f(8) = `(11)/4` +12

f(8) = 2.75 + 12

f(8) = 14.75

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Problems in mathematics dealing with functions


Problems1: using mathematics dealing with functions of f(3),  When f(x ) = `(2(x+3))/8`

Solution:

Using the function  f(3) in the constant function

f(x) =` (2x+6)/8`

f(3) = `(2xx3+6)/8 ` here substitute x value 3 in the given constant function

f(3) = `12/8.`

f(3) = 1.5

Problems 2: using mathematics dealing with functions of f(4). When f(x ) = `(2(x+6))/4`

Solution:

Using function f(4) in the constant function

f(x) =  `(2(x+6))/4`

f(4) = `(2(x+6))/4` here substitute x value 4 in the given constant function

f(4) =` (2xx4+12)/4.`

f(4) = `(8+12)/4`

f(4) = `20/4`

f(4) = 5

Information on Math Functions

Introduction to information on math functions:

In this article information on math functions, we will refer definition of a function and some worked example problems. Function is defined as a equation where the terms present in one side will vary with the terms present on the other side. For example x=5b+6c here x is a dependent variable of b and c, since b and c are independent variables.

Information on Math Function

1.Function is defined as a collection of mathematical function which produce the result after performing the calculation.

For example y=(4x+5x)+`(5x)/2` -4(x+2)

After performing the right hand side calculation which produces the result.

2.The function is used to identify or compare the relationship between two numbers

y=f(x)=x+7

Here the value y is greater than x.

3.There are lot of functions like

logarithmic function Example: f(x)=log x

Trigonometric function Example: f(x)= sin x

Geometric function Example `y=x^2`

Exponential function `f(x)=e^x`. Understanding square root of 7 is always challenging for me but thanks to all math help websites to help me out.

Worked Example Problems - Information on Math Functions

Example problem 1- information on math functions:

The price of one lemon and watermelon is $80 then what is the price of 5 jack fruit and 5 watermelon?

Solution:

Consider lemon as x

Watermelon as y

So from the given statement x + y = 80-------1

The price of 5 lemon and 5 watermelon, 5x + 5y = ?

We can write the above equation as

The price of 5 lemon and 5 watermelon = 5(x+y)

From the first equation we can substitute the x+y value

The price of 5 lemon and 5 watermelon =5(x+y)

= 5(80) = 400

The price of 5 lemon and 5 watermelon = $400

Example problem 2 - information on math functions

If log8=0.903 then find the value of log16?

Solution:

The number 8 can also be written as` 2^3`

They have given that log` 2^3=0.903`

3 log2=0.903

So log2=0.3010

The value of log 16 is given by `log 2^4 =4 xx log2`

`=4 xx 0.3010`

log 16 =1.204

Example problem 3- information on math functions

Calculate the value of `e^2 xx e^3` =?

Solution:

From the above statement `e^x xx e^y=e^(x+y)`

So `e^2 xx e^3=e^(2+3)=e^5=148.4`

Example problem 4- information on math functions

Consider `cos x = (2/5)` .Find out the value for sin x=?

Solution:

From the statement `sin^2 x+cos^2 x=1`

`sin^2 x=1- cos^2 x`

`sin x=sqrt(1- cos^2 x)`

=`sqrt[1-(2/5)^2]`

=`sqrt[1-(4/25)]`

=`sqrt(21/25)`