Show that the product of 7 11 and its reciprocal is 1 .

To prove: Product of 7 11 and its reciprocal is 1 . First, let's find the reciprocal of 7 11 The reciprocal of a rational number is just switching the numerator and the denominator. If a b is a non-zero rational number then its reciprocal is b a . Therefore, reciprocal of 7 11 will be 11 7 Now, product of 7 11 and its reciprocal will be 7 11 × 11 7 = 1 Hence, proved.

Show that the product of 2 x and its reciprocal is 1 .

To prove: Product of 2 x and its reciprocal is 1 . First, let's find the reciprocal of 2 x The reciprocal of a rational number is just switching the numerator and the denominator. If a b is a non-zero rational number then its reciprocal is b a . Therefore, reciprocal of 2 x will be x 2 Now, product of 2 x and its reciprocal will be 2 x × x 2 = 1 Hence, proved.

Show that the product of x - 1 x - 2 and its reciprocal is 1 .

To prove: Product of x - 1 x - 2 and its reciprocal is 1 . First, let's find the reciprocal of x - 1 x - 2 The reciprocal of a rational number is just switching the numerator and the denominator. If a b is a non-zero rational number then its reciprocal is b a . Therefore, reciprocal of x - 1 x - 2 will be x - 2 x - 1 Now, product of x - 1 x - 2 and its reciprocal will be x - 1 x - 2 × x - 2 x - 1 = 1 Hence, proved.

E M B I B E

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 4 - Equivalent Representations: Rational Functions>Exercise 4A

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Equivalent Representations: Rational Functions, Exercise 8: Exercise 4A

Author:Natasha Awada, Paul La Rondie, Laurie Buchanan & Jill Stevens

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Equivalent Representations: Rational Functions, Exercise 8: Exercise 4A

Attempt the practice questions on Chapter 4: Equivalent Representations: Rational Functions, Exercise 8: Exercise 4A with hints and solutions to strengthen your understanding. Mathematics : Analysis and Approaches Standard Level Course Companion solutions are prepared by Experienced Embibe Experts.