# Ex 1.3 , 14

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 1.3 , 14 Let f : R – −43 → R be a function defined as . f (x) = 4𝑥3𝑥 + 4 The inverse of f is map g: Range f → R – −43given by (A) g (y) = 3𝑦3−4𝑦 (B) g (y) = 4𝑦4−3𝑦 (C) g (y) = 4𝑦3−4𝑦 (D) g (y) = 3𝑦4−3𝑦 f(x) = 4𝑥3𝑥 + 4 Calculating inverse Take f(x) = y Hence, equation becomes y = 4𝑥3𝑥 + 4 y(3x + 4) = 4x 3xy + 4y = 4x 3xy – 4x = – 4y x(3y – 4) = – 4y x = −4𝑦3𝑦 − 4 x = −4𝑦−1(−3𝑦 + 4) x = 4𝑦(4 − 3𝑦) So, inverse of f = (4𝑦 − 3)6𝑦 − 4 ⇒ g(y) = 4𝑦 − 36𝑦 − 4 Hence, C is the correct answer

Ex 1.2, 5
Important

Ex 1.2 , 10 Important

Example 23 Important

Example 25 Important

Ex 1.3, 3 Important

Ex 1.3 , 6 Important

Ex 1.3 , 8 Important

Ex 1.3 , 9 Important

Ex 1.3 , 13 Important

Ex 1.3 , 14 Important You are here

Ex 1.4, 11 Important

Misc 3 Important

Misc. 4 Important

Misc 14 Important

Misc 18 Important

Class 12

Important Question for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.