you are to provide STEP BY STEP  solutions for the following problems: Use f(x) = 2x^2 - x – 3 and g(x) = 2x - 6 for following combinations (f + g)(x) = ___________________  (f – g)(x) = ___________________ (g – f)(x) = ___________________ (g - f)(-2) = ___________________  (fg)(2) = ___________________  (f / g)(x) = _______________ Domain of (f / g)(x)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

, you are to provide STEP BY STEP  solutions for the following problems:

  1. Use f(x) = 2x^2 - x – 3 and g(x) = 2x - 6 for following combinations
  1. (f + g)(x) = ___________________
  2.  (f – g)(x) = ___________________
  3. (g – f)(x) = ___________________
  4. (g - f)(-2) = ___________________
  5.  (fg)(2) = ___________________
  6.  (f / g)(x) = _______________

Domain of (f / g)(x)

  1. Use f(x) = 2x + 5 and g(x) = x^2 + x - 6 for following combinations.
  1.  (f + g)(x) = ___________________
  2. (g – f)(x) = ___________________
  3.  (g + f)(3) = ___________________
  4.  (fg)(0) = ___________________
  5. (fg)(-1) = ____________________
  6. (g / f)(1) = _______________.
  7. (f / g)(-3) = ___________________
  1. Given f(x) = 2x – 3 and g(x) = 5x + 4, use composite (f º g)(x) = f(g(x)) in the following.
  1.  Find composite (f º g)(x) = ______________________
  2.  Find composite (g º f)(x) = _______________________
  3.  Find composite (f º g)(-3) = ______________________
  1. Given f(x) = x2 – 8x - 9 and g(x) = x^2 + 6x + 5, use composite (f º g)(x) = f(g(x)) in the following.
  1.  Find composite (f º g)(0) = ______________________
  2.  Find composite (f º g)(1) = ______________________
  3. Find composite (g º f)(1) = _______________________
  1. An envelope is 4 cm longer than it is wide. The area is 96 cm2.  Find the length & width.
  2. Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

 

 

 

 

 

Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education