If two functions are defined by f(x) = x2 - 3 and g(x) = 1x -&nb..
If two functions are defined by f ( x ) = x 2 - 3 and g ( x ) = 1 x - 9 , then write the domain of the composite function ( f o g )( x ). => R - {9} or (-1, ∞) or (0, ∞) or R..
Continuity at a Point
1. We say that f(x) is continuous if f(x) is continuous at every point in its domain. 2. If f and g are two continuous functions then f + g, f - g, fg are continuous functions. 3. Every polynomial function is continuous. 4. Every rational function is continuous at ..
Summary Relations and Functions
>Relation from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an equivalence relation on A if it is reflex..
Relations and Functions-, Types of Functions
>Relation from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an equivalence relation on A if it is reflex..
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