Let f and g be two functions on R where f(x) = x + 1 and g(x)
Fantastic news! We've Found the answer you've been seeking!
Question:
Let f and g be two functions on R where f(x) = x + 1 and g(x) = 2 if x ̸= 1 = 1 if x = 0.
1. Find gof if it is well-defined.
2. Find fog if it is well-defined.
3. Examine the continuity of both these compositions.
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
Let a R and let f and g be real functions defined at all points x in some open interval containing a except possibly at x = a. Decide which of the following statements are true and which are false....
-
Let f and g be Lipschitz functions on A. (a) Show that the sum f + g is also a Lipschitz function on A. (b) Show that if f and g are bounded on A, then the product fg is a Lipschitz function on A....
-
Let f and g be bounded functions on I := (a, b). If f(x) < g(x) for all x I, show that L(f) < L(g) and U(f) < U(g).
-
The unadjusted trial balance of Simple Consulting Services as at December 31, 2021 is as follows: Cash Accounts receivable Prepaid insurance Supplies inventory Office equipment Accumulated...
-
You are a PA examining the financial statements of Pate Corporation for the year ended December 31. The financial statements and records of Pate Corporation have not been audited by a PA in prior...
-
What is the key difference between an adjusting entry and a correcting entry?
-
Which of the following was not a major goal when the EDP Auditors Foundation established the CISA examination? a. Providing a basis for a disciplinary mechanism within the information systems audit...
-
For this written assignment, a flower shop uses 800 clay pots a month. The pots are purchased at $2 each. Annual carrying costs are estimated at $0.60 per pot per year and ordering costs are $20 per...
-
ton) 2.750 1.700 01.000 R3.000 N 2.500 .800 B .080- .250 .100 1.300- .200 .200 TYP. B 2.200 SECTION B-B SCALE 1: 1.5
-
The following matrix shows the payoffs for advertising game between Coke and Pepsi. The firms can choose to advertise or to not advertise. Number in the matrix represent profits; the first number in...
-
You obtain a 4 0 % Margin Loan ( Loan / Value ) at annual rate of 4 % to buy 1 5 0 shares of IBM $ 1 9 0 . After 6 months later you sold all the shares at $ 2 1 5 . During the hold period you...
-
The following information about the fixed assets for Martinez Books Inc. has been provided to you. Martinez uses straight-line depreciation. The assets were acquired on January 1 and have no residual...
-
d Wiater Company operates a small manufacturing facility. On January 1, 2021, an asset account for the company showed the following balances: Equipment Accumulated Depreciation (beginning of the...
-
A company operates a job costing system. The company s standard net profit margin is 2 0 % of sales value. The estimated costs for job B 1 2 4 are as follows: Direct material 3 kg @ $ 5 per kg Direct...
-
Palisade Creek Co. is a merchandising business that uses the perpetual inventory system. The account balances for Palisade Creek Co. as of May 1, 2016 (unless otherwise indicated), are as follows:...
-
Y ou push a 1 5 . 0 kg lawnmower across the lawn at constant speed. To do so , you exert 1 2 0 N of force along the handle, which makes an angle of 3 5 degree with the horizontal; ( a ) Draw the...
-
10:23 Photo ILTE Done Homework assignment 2 1. (10 pts) Create an M file and use for loop and if...else to solve the following problem: x= [3,5, 0, -2, -1, 0, -4, 8, 10] For each element in vector x,...
-
d. The characteristic equation of a control system is given by s+2s+8s+12s+20s+16+16=0. Determine the number of the roots of the equation which lie on the imaginary axis of s-plane
-
What is a positive externality?
-
Define and explain public goods and the free-rider problem.
-
In the case of a good whose production generates negative externalities, a. those not directly involved in the market transactions are harmed. b. internalizing the externality would tend to result in...
Study smarter with the SolutionInn App