A and B are subsets of R . Every element x of A is mapped to an element of B by the rule, y x = 5 x x - 3 x + 3 if x ≠ - 1 - 1 if x = - 1 , then A =

Question

A and B are subsets of R . Every element x of A is mapped to an element of B by the rule, y x = 5 x x - 3 x + 3 if x ≠ - 1 - 1 if x = - 1 , then A =, R / { - 3 , + 3 , - 0 }, R / { - 3 , + 3 }, R / { - 3 , 3 , 0 , - 1 }, R

MARKS App · Accepted Answer

y x = 5 x x - 3 x + 3 , x ≠ - 1 - 1 , x = - 1 = f x f x is a function f : A → B Here, A is the domain. For domain of f , x - 3 ≠ 0 , x + 3 ≠ 0 ⇒ x ≠ - 3 , 3 So, A = R / - 3 , 3 or R - - 3 , 3

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