Calculate the composite functions f g and g f, and determine their domains. 27. f

Question:

Calculate the composite functions f ◦ g and g ◦ f, and determine their domains.
27. f (x) =√x, g(x) = x + 1
29. f(x) = 2x , g(x) = x2

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to graph theory

ISBN: 978-0131437371

2nd edition

Authors: Douglas B. West

See More Books

Question Posted: May 03, 2016 02:29 AM

See More Questions

Functions f and g are defined on R by f (x) := x + 1 and g (x) := 2 if x 1 and g(1) := 0. lim g (f(x) g (lim f(x))
The graph of f (x) = x2 - 2x - 1 is which of the following? -4 4-3-2-1.| 1 2 3 4 5 -5-4-3-2-1.112345 5-4-3-2-1 4 5 x -5-4- 2 3 4 5x
The functions f and g are defined by these sets of input and output values. g = {(1, 2), (- 2, 4), (5, 5), (6, - 2)} f = {(2, 1), (4, - 2), (5, 5), (- 2, 6)} a. Find g( f (2)). b. Find f (g(6)). c....
Beginning from rest, an object of mass 200 kg slides down a 10-m-long ramp, the ramp is inclined at an angle of 40 from the horizontal. If air resistance and friction between the object and the ramp...
Suppose you have just signed a partnership agreement with your cousin Eddie to open a bookstore near your college. You believe that the store will be able to provide excellent service and undersell...
Explain the term stakeholder. Distinguish between stakeholders with a direct versus an indirect interest in the companies that issue accounting reports.
Determine the flowrate through the submerged orifice shown in Fig. P3.100 if the contraction coefficient is $C_{c}=0.63$. Figure P3.100 4 ft 3-in. diameter 2 ft 6 ft
Harrison Company makes two products and uses a traditional costing system in which a single plantwide predetermined overhead rate is computed based on direct labor-hours. Data for the two products...
Find the instant centers in the mechanisms below. Draw the mechanisms to scale. Y YA 2 L = 174 3 L2 = 116 L3 = 108 X L4 = 110 B Y y 2 02 57 3 X 04 B x L = 162 L2 = 40 L4=122 L3 = 96 04 x
When a country has a comparative advantage in the production of a good, it means that it can produce this good at a lower opportunity cost than its trading partner. Then the country will specialize...
Identify each of the following functions as polynomial, rational, algebraic, or transcendental. 19. f(x) = 2x3 + 3x/9 7x2 21. f (x) = sin(x2) 23. f(x) = x2 + 3x1
What is unusual about the domain of the composite function f g for the functions f (x) = x1/2 and g(x) = 1|x|?
How often is negative supply shocks associated with recessions? Plot on a quarterly basis since 1971 the real price of oil measured as the ratio of the nominal price of oil (FRED code: OILPRICE) to...
Identify one structure measure, one process measure, one outcome measure, and one customer experience measure that could be used to evaluate a managers process for hiring a new employee. The common...
(a) Classify and give examples of the kinds of processes that can change (i) the number of loaves of bread in a bakery, (ii) the number of Lego pieces inside a house, and (iii) the number of coins in...
What does doubling an object's velocity do to its momentum and to its kinetic energy?
When you throw a tennis ball against a wall with some initial speed, is it possible for the ball to bounce back with a higher speed?
Two cars come to a stop from the same initial speed, one braking gently and the other braking hard. Which car converts more kinetic energy to internal energy (for example, thermal energy in the...
Would you expect Fe 3+ or Fe 2+ to be the stronger Lewis acid? Explain.
The cash records of Holly Company show the following four situations. 1. The June 30 bank reconciliation indicated that deposits in transit total $720. During July, the general ledger account Cash...
Let f := R R and let R. Show that limf(x + c) = L.
Let I := (0, a) where a > 0, and let g(x) := x2 for x I. For any points x, c I, show that |g(x) - c2| lim x2 = c2 for an y CE 1.
Show that lim V Vc for any e >0
A cylindrical log is cut as shown to form a park bench. Find: a. The area of triangle OAB in m. [2] b. The volume of the log in m. [3] B 70% 40 cm 3m
Security issues in today's workplace. Identify the different types of potential security issues an employer may have to deal with. Give examples to illustrate each of these potential security...
Research on the Internet and identify an emerging security issue. Describe the issue and its origin. Provide an example of this new security issue. Discuss the impacts of the security issue and...

Calculate the composite functions f g and g f, and determine their domains. 27. f

Question:

Step by Step Answer:

27 fgx x 1 D x ...View the full answer

Introduction to graph theory

Students also viewed these Calculus questions