Homework Help is Here – Start Your Trial Now!
Math
Algebra
51. f(x) = x² + 5x - 16, g(x) = x³ + x²; x = 3

51. f(x) = x² + 5x - 16, g(x) = x³ + x²; x = 3

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 22RE: Geometry The perimeter of a rectangle is 200meters. (a) Draw a diagram that gives a visual...
See similar textbooks
icon
Related questions
Question
Solve the problem 51 on the attached document and show your work
Performing Function Operations (pp. 279-284) WATCH Learning Target: Perform arithmetic operations on two functions. Find (f+g)(x) and (f- g)(x) and state the domain of each. Then evaluate f + g and f-g for the given value of x. 48. f(x) = 3(5), g(x) = -8(5x); x = 4 5.6 Find (fg)(x) and given value of x. 50. f(x) = 2x4+3, g(x) = x -2; x = -1 51. f(x) = x² + 5x - 16, g(x) = x³ + x²; x = 3 Determine whether the statement is always, sometimes, or never true. Explain your reasoning. 52. For two quadratic functions f and g, f + g is also a quadratic function. 53. For two functions f and g, when f(a) = 3 and g(a) = 4, (fg)(a) = 12. 5.7 49. f(x) = 3x² + 1, g(x) = x + 4; x = -5 (x) and state the domain of each. Then evaluate fg and I for the g WATCH Composition of Functions (pp. 285-290) Learning Target: Evaluate and find compositions of functions. Use the functions f(x)=x²-3, g(x) = x + 6, and h(x) = - the table. x-3 2 54. X 5 7 9 11 13 61. g(h(x)) 55. X -6 -4 -2 0 2 to complete f(g(x)) Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). State the domain and range of each composition. 56. f(x) = 3x², g(x) = -x - 2 57. f(x) = 6x + 5, g(x) = √x + 4 58. f(x) = -7x + 1, g(x)=√x - 2 59. f(x)=x-9, g(x) = x³ - 4x + 3 60. Let f(x) = 4x - 3, g(x) = -x² + 8, and h(x) = -x. Find (a) g(h(x)), (b) f(g(h(x))), and (c) f(g(h(4))). What do you notice about g(h(x))? Let fhe a radical function and let a ho o lingor function with Vocabulary composition
Transcribed Image Text:Performing Function Operations (pp. 279-284) WATCH Learning Target: Perform arithmetic operations on two functions. Find (f+g)(x) and (f- g)(x) and state the domain of each. Then evaluate f + g and f-g for the given value of x. 48. f(x) = 3(5), g(x) = -8(5x); x = 4 5.6 Find (fg)(x) and given value of x. 50. f(x) = 2x4+3, g(x) = x -2; x = -1 51. f(x) = x² + 5x - 16, g(x) = x³ + x²; x = 3 Determine whether the statement is always, sometimes, or never true. Explain your reasoning. 52. For two quadratic functions f and g, f + g is also a quadratic function. 53. For two functions f and g, when f(a) = 3 and g(a) = 4, (fg)(a) = 12. 5.7 49. f(x) = 3x² + 1, g(x) = x + 4; x = -5 (x) and state the domain of each. Then evaluate fg and I for the g WATCH Composition of Functions (pp. 285-290) Learning Target: Evaluate and find compositions of functions. Use the functions f(x)=x²-3, g(x) = x + 6, and h(x) = - the table. x-3 2 54. X 5 7 9 11 13 61. g(h(x)) 55. X -6 -4 -2 0 2 to complete f(g(x)) Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). State the domain and range of each composition. 56. f(x) = 3x², g(x) = -x - 2 57. f(x) = 6x + 5, g(x) = √x + 4 58. f(x) = -7x + 1, g(x)=√x - 2 59. f(x)=x-9, g(x) = x³ - 4x + 3 60. Let f(x) = 4x - 3, g(x) = -x² + 8, and h(x) = -x. Find (a) g(h(x)), (b) f(g(h(x))), and (c) f(g(h(4))). What do you notice about g(h(x))? Let fhe a radical function and let a ho o lingor function with Vocabulary composition
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS