II. Direction: Perform the indicated operations on functions. Use the given functions below.Given:Find:7. (g)(x)9. (f/g)(x)f(x) = x² + 10x + 25h(x)=x²-49e(x)= 3x² + 25x38g(x) = x + 5r(x) = x-78. (fr)(x)10. (h/r)(x)

Answered: Image /qna-images/answer/326f23be-5e59-4f8c-afa0-e0941e788286.jpg

Answered: Given: Find: 7. (g)(x) 9. (f/g)(x)…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 4TI: Graph the function f(x)=x36x215x+20 to estimate the local extrema of the function. Use these to...

See similar textbooks

Similar questions

What is the composition of two functions, fg ?
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
For the function f(x)=|2x1|-3 , find the values of x such that f(x)=0 .
Graph the function f(x)=x36x215x+20 to estimate the local extrema of the function. Use these to determine the intervals on which the function is increasing and decreasing.
Find the y-and x-intercepts of the function f(x)=x419x2+30x.
The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?
The height h of a projectile is a function of the time t it is in die air. The height in feet for t seconds is given by the function h(t)=-16t2+96t . What is the domain of die function? What does the domain mean in the context of die problem?
How do you find the domain for the composition of two functions, fg ?
For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant. 31. Find the local extrema for the function graphed in Exercise 28.
For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, orneither parallel nor perpendicular: The number of people afflicted with the commoncold in the winter months dropped steadily by25 each year since 2002 until 2012. In 2002, 8,040people were in?icted. Find the linear function thatmodels the number of people afflicted with thecommon cold C as a function of the year, t. Whenwill less than 6,000 people be afflicted?
The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,
For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constantrate of 2,500 per year for 5 years. If the function P is graphed, find and interpret thex-and y-intercepts.

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

SEE MORE TEXTBOOKS

Given: Find: 7. (g)(x) 9. (f/g)(x) f(x)= x² + 10x + 25 h(x)=x²-49 e(x)= 3x² + 25x-38 g(x)=x+5 r(x)=x-7 8. (fr)(x) 10. (h/r)(x)