how to find the domain of a composite function

In the above definition of the function, set A is called domain..

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 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..

>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..

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..

Determine whether the relation is a function. Give the domain and range of it, if it is a function. => It is a function; domain is 2 and range is 11 or It is a function; domain is 11, 13, 17, 19 and range is 2, 3, 5, 7 or It is n..

Which of the following functions excludes zero from its domain? => y = - x or y = log x or y = e x - 2 or y = cos x..

Choose the function whose domain is the set of all reals except 0. => y = e x + | x | or y = cos x or y = - 1 x or y = | x |..

Which of the following functions have continuity in their domain? => f ( x ) = x 2 or f ( x ) = x 3 or f ( x ) = x or All of the above..

>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..