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Composite function
Let f : A g B and g : B g C be two functions. Let h: A g C be function such that h(x) = g(f(x)) h is called the composite of f and g, denoted by h = g o f. i.e., (g o f) (x) = g (f(x..
Composition of functions -gof fog
Composition of two functions or Product of two functions - Let f:AgB and g:AgB be two functions. Thus the composition of two functions f and g denoted by gof or fog is the function from A into C defined by gof = {(a,b) for some c..
Composition of two functions or Product of two functions
Let f:AgB and g:AgB be two functions. Thus the composition of two functions f and g denoted by gof or fog is the function from A into C defined by gof = {(a,b) for some c B, (a,c) f and (c,b) g..
Empirical Formula from Percentage Composition
Empirical formula of a compound is a formula that shows the simplest whole number ratio between the atoms of the elements in the compound. It can be calculated from the percentage composition of the elements present in a compound. The various steps involved in determining the em..
Molecular Formula from Percentage Composition
Molecular Formula of a substance gives the names and number of atoms of the various elements present and the molecular mass of it. To find the molecular formula from percentage composition we have to undertake the following steps: 1) First find the empirical formula, as illustrated earlie..
Percentage Composition of a Compound
formula for calculating mass percentage of the element The mass percentage of each constituent element present in any compound is called its percentage composition. This may be obtained from the molecular formula of the compound by using the relationship:..
Relations and Functions-, Types of Functions
A is called the composite function of f and g. (ii) If f and g be functions from A to A then fog and gof are both defined. In general fog gof. A function from A x A into A is called a binary operation on A..
Operation on Real Functions
The following are the Operation on Real Functions: Sum Function, Difference Function, Product Function, Quotient Function, Scalar Multiplication Function, Composite Functions, Inverse Functions..
Ecosystem - Structure and Function
The characteristic structure of an ecosystem is obtained by the systematic physical organisation of the abiotic and biotic components of that particular ecosystem. The two main structural features of any ecosystem are its 'species composition' and 'stratification'. An ecosystem can be rep..
State of the System and State Functions
. Thus, state of the system may be defined as its conditions of existence of the system when its macroscopic properties have definite values. When the state of a system changes its macroscopic properties also change and acquire new definite values. The macroscopic properties are properties which ar..
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