Q2. (a) Let a and 3 be the roots of the equation x² - 4x + 2 = 0. Without solving the equation, find: (i) The value of +22. (ii) The equation whose roots are and . (b) Let f(x) = 2+1, x 1 and g(x) = 3x - 1. Find the (i) domain of f(x), (ii) range of f(x), (iii) Value of x for which (fog)-¹(x) = = 3. (c) (i) Let f(x) = 2 cos(x +30°) + 4, find the amplitude, period and phase shift and sketch the graph of f(x) = 2 cos(x +30°) + 4.

Q2. (a) Let a and 3 be the roots of the equation x² - 4x + 2 = 0. Without solving the equation, find: (i) The value of +22. (ii) The equation whose roots are and . (b) Let f(x) = 2+1, x 1 and g(x) = 3x - 1. Find the (i) domain of f(x), (ii) range of f(x), (iii) Value of x for which (fog)-¹(x) = = 3. (c) (i) Let f(x) = 2 cos(x +30°) + 4, find the amplitude, period and phase shift and sketch the graph of f(x) = 2 cos(x +30°) + 4.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 15E

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