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Ex 1.3
Ex 1.3, 2
Ex 1.3, 3 (i) Important
Ex 1.3, 3 (ii)
Ex 1.3 , 4
Ex 1.3, 5 (i)
Ex 1.3, 5 (ii) Important
Ex 1.3, 5 (iii) Important
Ex 1.3 , 6
Ex 1.3 , 7
Ex 1.3 , 8 Important
Ex 1.3 , 9 Important
Ex 1.3, 10 Important
Ex 1.3, 11
Ex 1.3, 12
Ex 1.3, 13 (MCQ) Important
Ex 1.3, 14 (MCQ) Important You are here
Last updated at Aug. 6, 2021 by Teachoo
Ex 1.3, 14 Let f : R – {(−4)/3} → R be a function defined as f (x) = 4𝑥/(3𝑥 + 4) The inverse of f is map g: Range f → R – {(−4)/3}given by (A) g (y) = 3𝑦/(3−4𝑦) (B) g (y) = 4𝑦/(4−3𝑦) (C) g (y) = 4𝑦/(3−4𝑦) (D) g (y) = 3𝑦/(4−3𝑦) f(x) = 4𝑥/(3𝑥 + 4) Calculating inverse Take f(x) = y Hence, equation becomes y = 4𝑥/(3𝑥 + 4) y(3x + 4) = 4x 3xy + 4y = 4x 3xy – 4x = – 4y x(3y – 4) = – 4y x = (−4𝑦)/(3𝑦 − 4) x = (−4𝑦)/(−1(−3𝑦 + 4)) x = 4𝑦/((4 − 3𝑦)) So, inverse of f = 4𝑦/((4 − 3𝑦)) ∴ g(y) = 4𝑦/((4 − 3𝑦)) Hence, B is the correct answer