5. The functions f, g and h are defined as follows: f: x → sin x, x>0 8: x → In(x²), XER h:x-x² - 4, XER (i) Explain briefly why the inverse function f and the composite function fg cannot be formed. (ii) Give the largest possible domain of g so that the composite function fg can be formed. Write down its rule and state its range.
5. The functions f, g and h are defined as follows: f: x → sin x, x>0 8: x → In(x²), XER h:x-x² - 4, XER (i) Explain briefly why the inverse function f and the composite function fg cannot be formed. (ii) Give the largest possible domain of g so that the composite function fg can be formed. Write down its rule and state its range.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 24E
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