Druyd:Knowledge

Introducción a las Funciones

Storyboard

>Model

ID:(420, 0)

Concepts on Functions

Definition

ID:(511, 0)

Functions

Image

ID:(492, 0)

Introducción a las Funciones

Description

Variables

Symbol

Text

Variable

Value

Units

Calculate

MKS Value

MKS Units

$y$

Dependent Variable

$DF$

Function

$g(x)$

g_x

Function

$x$

Independent Variable

$x_n$

x_n

Independent Variable

$n$

$x_1$

x_1

Independent Variable 1

$x_2$

x_2

Independent Variable 2

$f^{-1}$

f^-1

Reverse Function

Calculations

Equation

Number

First, select the equation:

, then, select the variable:

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable

Given

Calculate

Target :

Equation

To be used

Equations

$y = f(x)$

y = f (x)

(ID 3370)

$z=g(y)=g(f(x))$

z=g(y)=g(f(x))

(ID 3371)

$h=g\circ f$

h=g\circ f

(ID 3372)

$(f^{-1}\circ f)x=f^{-1}(f(x))=x$

( f ^{-1}\circ f )* x = f ^{-1}( f(x))= x

(ID 3373)

$y=f(x_1,x_2,\ldots,x_n)$

y=f(x_1,x_2,\ldots,x_n)

(ID 3374)

Examples

Concepts on Functions

(ID 511)

Functions

(ID 492)

Definition

$y = f (x)$

(ID 3370)

Function of several Variables

$y=f(x_1,x_2,\ldots,x_n)$

(ID 3374)

Function Notation applied to Function

$h=g\circ f$

(ID 3372)

Function of Function

$z=g(y)=g(f(x))$

(ID 3371)

Inverse Function

$(f^{-1}\circ f)x=f^{-1}(f(x))=x$

(ID 3373)

ID:(420, 0)