Ex 1.3 , 14 - Chapter 1 Class 12 Relation and Functions

Transcript

Ex 1.3 , 14 Let f : R 4 3 R be a function defined as . f (x) = 4 3 + 4 The inverse of f is map g: Range f R 4 3 given by (A) g (y) = 3 3 4 (B) g (y) = 4 4 3 (C) g (y) = 4 3 4 (D) g (y) = 3 4 3 f(x) = 4 3 + 4 Calculating inverse Take f(x) = y Hence, equation becomes y = 4 3 + 4 y(3x + 4) = 4x 3xy + 4y = 4x 3xy 4x = 4y x(3y 4) = 4y x = 4 3 4 x = 4 1( 3 + 4) x = 4 (4 3 ) So, inverse of f = (4 3) 6 4 g(y) = 4 3 6 4 Hence, C is the correct answer