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Inverse and composite function

Inverses and Composite  are two important concept of functions.  Composite function is defined as one function  defined inside another function. Like ff(x)) or f(g(x)) etc. Concept  of inverse is interchange of variables . Inverse notations are f-1(x),g-1(x) etc. Hence interchange is inverse. Therefore function and its inverse is reflection about y = x.   inverse and […]

Inverse of function

Inverse  of functions is  an important concept .  Domain  values and Range  values gets interchange . Due to these values of functions, continuity of function also change.  Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x.   Inverse of Function

Rational Function

Rational functions is  a function that is the quotient of two polynomials. Also polynomial a function that is the quotient of two polynomials. Rational functions and the properties of their graphs such as domain, vertical and horizontal asymptotes, x and y intercepts . Rational function graph is discontinuous graph at asymptotes. Rational function

Function and Equation

Function notations are method of writing equation. Mostly , functions are portrayed as a set of x/y coordinates. Therefore   y-axis serving as a function of x. When we use function F(x) notation then one is  independent variable and another  dependent variable. Due to this on Y-axis F(x) represent. Function notation

Function and Equation

Function notations are method of writing equation. Mostly , functions are portrayed as a set of x/y coordinates. Therefore   y-axis serving as a function of x. When we use function F(x) notation then one is  independent variable and another  dependent variable. Due to this on Y-axis F(x) represent.   Function Notation

Function and Equation

F(x)  represent function. Mostly , functions are portrayed as a set of x/y coordinates. Therefore   y-axis serving as a function of x. When we use function F(x) notation then one is  independent variable and another  dependent variable. Due to this on Y-axis F(x) represent.   Functions

Domain and Range

Domain  represent value of x , while range represented by F(x)  or y function. Mostly , functions are portrayed as a set of x/y coordinates. Therefore   y-axis serving as a function of x. When we use function F(x) notation then one is  independent variable and another  dependent variable. Due to this on Y-axis F(x) represent. Domain and range

Interpretation of trigonometric graph

Sound waves travel in a repeating wave pattern. This represent graphically by sine and cosine functions. As trigonometric function is periodic therefore it use for sound wave. Similarly we use in wheel also for model function, because  of rotation of wheel. Also  use of periodic conditions. trigonometric function

 
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