Question: Give an example of functions f (x) and g(x) such that f (g(x)) is continuous but g(x) has at least one discontinuity.

Give an example of functions f (x) and g(x) such that f (g(x)) is continuous but g(x) has at least one discontinuity.

Step by Step Solution

★★★★★

3.27 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Responses may vary The simplest examples are the f... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

931-C-L-D (1924).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Suppose that a researcher conducts an independent samples experiment comparing three treatments. Participants serve in the experiment either online or by visiting the researchers lab. Scores for this...

Q:

Let x1, x2,. . . , xn be a distinct set of sample points. (a) Prove that the functions f1(x),... , fk(x) are linearly independent if their sample vectors f1......... f are linearly independent...

Q:

Give an example of a function f: A B and A1, A2 A for which f(A1 A2) f(A1) (A2). [Thus the inclusion in Theorem 5.2(b) may be proper.]

Q:

Give an example of a loop-free connected undirected multigraph G = (V, E) such that |V| = n and deg(x) + deg(y) n - 1 for all x, y V, but G has no Hamilton path.

Q:

=Homework: Assignment 2 Question 37, 2.5.66 HW Score: 11.24%, 5.51 of 49 points Part 1 of 2 Points: 0 of 1 Save Give an example of functions f and g, both continuous at x = 0, for which the composite...

Q:

MATH 2600H 2017 Winter Assignment 3 Due March 21, 2017 1. Section 7.2 #25. Let S be the set of all strings in a's and b's, and de...ne C : S ! S by C (s) = as; for all s 2 S: (a) Is C one-to-one?...

Q:

\fGiven the functions: f (x) = -2x g (x) = x+7 h( x ) = x+6 Evaluate the function (g- h) (-7) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if...

Q:

can someone help me with these two questions? and also check my answer to make sure it is right? thanks a lot! Which of the following statements is always true? O Given two functions f (x) and g (x),...

Q:

MATH 107 Name:________________________________ Directions: Fill out this answer sheet. Either select the correct answer or fill in the blank. Failure to use this answer sheet will result in an...

Q:

\fGiven the functions: f (x) = -6x g (x) = x+7 hx = x- 2 Evaluate the function (h.g) (3) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if...

Q:

OV webassign.net C *Homework Help - Q&A from Online Tutors - Course Hero Mini homework: Product, Quotient and Chain Rules - MA 131, section 001, Spring 2022 | WebAssign Suppose we wanted to...

Q:

The Toylot Company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the...

Q:

1. Given the following data from 7 days. Compute, CL, UCL, and LCL of Rand X Control Charts for the following data. Sample Values (Group Sample Size = n = 4) 24 23 26 25 28 26 25 27 27 23 29 28 23 25...

Q:

What was the primary motto of humanists during the Renaissance? Studia humanitatis; "study the humanities" Ludic; "education through play" Utopia; "nowhere" Ad fontes; "back to the sources"

Q:

The stresses acting on an element that is oriented at a clockwise angle of 15 with respect to the original state. Determine a plane stress condition on the element.) x, y, xy, respectively (MPa). |y...

Q:

Let h(x):= log3(4r 4x + 10). Find the range of h.

Q:

Let g(x) = 2021" + 5x + 2020. What is g(2021)? %3D

Q:

Solve each of the following 1. 2(52") 11(5*") + 5 10 3. | log, (a2 4) 1|

Q:

Let a > 0. What is the domain of f if f(r):= log,(e2-+2e" -3)?

Q:

A project manager of a technical training company is working on a project that will automate the companys course registration process. Due to the expertise involved, the company hired an external...

Q:

Sketch graphs of the following exponential function. For each, find the value of x where it is equal to 7.0. For the increasing functions, find the doubling time, and for the decreasing functions,...

Q:

Sketch graphs of the following updating function over the given range and mark the equilibria. h(z) = e-z for 0 z 2.

Q:

Sketch graphs of the following updating function over the given range and mark the equilibria. F(x) = ln(x) + 1 for 0 x 2. (Although this cannot be solved algebraically, you can guess the answer.)

Q:

Assignment: You are interested in proposing a new venture (Project I) to the management of your company. Pertinent financial information is given below. Balance Sheet Data Cash 2,500,000 Accounts...

Q:

6. The following accounts are reported for the Whitewasher Corp. for the end of fiscal year 2013 (all figures in millions): Cash = $12.0 Accounts Payable = $108.0 Inventories = $180.0 Total Current...

Q:

If b) is true (sample belongs to a population with a mean different than 82), what type of error are we making by not rejecting the null hypothesis in a)? Group of answer choices A)Error type II B)...