Function Composition Using GraphsUse the graphs for f(x) and g(x) to evaluate the expressions below. Write your answer as an integeror a reduced fraction.-6 -5 4 -3 -2 -1-12-3-4f(g(0)) =ƒ(ƒ(−6)) =5432Question Help: Videofo)-6*6+C4321X1 2 3 4 5 6 -6 -5 -4 -3 -2 -1-1-4-5-6+g(x)g(f(-5)) =g(g(-2)) =3 4 5 6A

From the graph : f(g(0))=f(-3)=-1f(f(-6))=f(2)=3

Answered: Function Composition Using Graphs Use…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.3: Getting Information From The Graph Of A Function

Problem 2E: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of...

See similar textbooks

Similar questions

The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of solve the exercises. The domain of the function f is all the _____-values of the points on the graph, and the range is all the corresponding_____-values. From the graph of f we see that the domain of f is the interval ________ and the range of f is the interval ________.
The function f graphed below is defines by a polynomial expression of degree 4. Use the graph to solve the exercises. (a) A function value f (a) is a local maximum value of f if f (a) is the____ value of f on some open interval containing a. From the graph of f we see that there are two local maximum values of f : One local Maximum is ______, and it occurs when x=2; The other local maximum is ______, and it occurs when x=_______. (b) The function value f (a) is a local minimum value of f if f (a) is the _____ value of f on some open interval containing a.From the graph of f we see that there is one local minimum value of f .The local minimum value is,______ and it occurs when x=______.
Revenue A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=80x0.4x2, where the revenue R(x) is measured in dollars. What is the maximum revenue? and how many units should be manufactured to obtain this maximum?
Graphical Addition Two Functions, f and g ,are given. Draw graphs of f , g , and f+g on the same graphing calculator screen of the illustrate the concept of graphical addition. f(x)=x2+1,g(x)=3x2
Adding Functions A certain function f is the sum of two temperatures, one given by t2+3, and the other given by tt2+1. Find a formula for f in terms of t.
Volume of a box A cardboard box has a square base, with each edge of the base having length x inches, as shown in the figure. The total length of all 12 edges of the box is 144 in. (a) Show that the volume of the box is given by the function V(x)=2x2(18x). (b) What is the domain of V? Use the fact that length and volume must be positive. (c) Draw a graph of the function V and use it to estimate the maxim volume for such a box.
The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of solve the exercises. To find a function value f(a) from the graph at f , we find the height of the graph above the x -axis x= . From the graph of f we see that f(3)= and f(1)= .The net change in f between x=1 and x=3 is f()f()= .
Minimizing a Distance When we seek a minimum or maximum value of a function, it is sometimes easier to work with a simpler function instead. Suppose g(x)=f(x) where f(x)0 for all x. Explain why the local minima and maxima of f and g occur at the same values of x. Let gx be the distance between the point 3,0 and the point (x,x2) on the graph of the parabola y=x2. Express g as a function of x. Find the minimum value of the function g that you found in part b. Use the principle described in part a to simplify your work.
Water Flea F. E. Smith has studied population growth for the water flea. Let N denote the population size. In one experiment, Smith found that G, the rate of growth per day in the population, can be modeled by G=0.44N(228N)228+3.46N a. Draw a graph of G versus N. Include values of N up to 350. b. At what population level does the greatest rate of growth occur? c. There are two values of N where G is zero. Find these values of N and explain what is occurring at these population levels. d. What is the rate of population growth if the population size is 300? Explain what is happening to the population at this level.
Local Maximum and Minimum Values The graph of A function f is given the graph to estimate the following. (a) All the local maximum and minimum value of the function and the value of x at which each occurs. (b) The intervals on which the function is increasing and on which the function is decreasing.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Function Composition Using Graphs Use the graphs for f(x) and g(x) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. 6 5 4 f(x) 6 5 g(x)