Find the inverse function (if it is defined) of the following functions: If f (x) does not

Question:

Find the inverse function (if it is defined) of the following functions:

(a) f(x) = 2x 3 (x in R) 2x-3 (b) f(x) x + 4 (c) f(x) = x + 1 (x in R, x = -4) (x in R)

If f (x) does not have an inverse function, suggest a suitable restriction of the domain of f(x) that will allow the definition of an inverse function.

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

Step by Step Answer:

Related Book For book-img-for-question

Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

See More Books

Question Posted: Jan 04, 2024 06:20 AM

See More Questions

List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
Find the inverse function of f informally. Verify that f (f-1 (x)) = x and f-1(f (x)) = x. 1. f(x) = 6x 2. f(x) = 1/3x 3. f(x) = 3x + 1
Find the inverse function of f informally. Verify that f(f-1(x)) = x and f-1(f(x)) = x. 1. f(x) = x - 4/5 2. f(x) = x3 - 1
A ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 9. A player wins $1.5 if the number on the ball is odd and loses $1.5 if the number is even. Let x be the amount...
Find Io in the network in figure using linearity and the assumption that Io =1mA. 4 kn 4 kn 4 kn |12 S 2 kn 4 kn 4 mA
In each case below, accounting conventions may have been violated. 1. After careful study, Lipski Company, which has offices in 40 states, has determined that its method of depreciating office...
Examine the knowledge management system you have in place for organizing e-mail, texts, schoolwork, work-related projects, and so on. Is your technology up to the task? Are you using it to full...
The CFO described in Problem 13.35 asks you to estimate the beta for Coral Gabless common stock . Since the common stock is not publicly traded, you do not have the data necessary to estimate the...
Equipment with a cost of $777,000 has an estimated residual value of $77,000, has an estimated useful life of 25 years, and is depreciated by the straight-line method. a. Determine the amount of the...
An open conical container is made from a sector of a circle of radius 10 cm as illustrated in Figure 2.16, with sectional angle (radians). The capacity Ccm 3 of the cone depends on . Find the...
If y = f(x) = x 2 + 2x and y = g(x) = x 1, obtain the composite functions f(g(x)) and g(f(x)).
Examine your own organisation, or one that you know. What forms of pre-departure training does it offer?
What is brand awareness for Jam & Daisies ? their leaning advantage, consideration advantage, choice advantages? 5. what is the recommendation of brand awareness? 6. What is Brand recognition? 7....
On August 1st, Custom Car Co's work in process inventory was $24900; its raw materials inventory was $6000; manufacturing overhead had a $1800 debit balance. Work in Process Subsidiary Data 8/1:...
Case: Castoro & Partners, CPAs is auditing Cloud 9 for the FY2023. Cloud 9 is a small public company and has been an audit client of Castoro & Partners since 2018. Materiality Methodology: Overall...
1)Solve the following differential equations by Undetermined Coefficient Method. dy dx dy - 4- 4+ 4y = 16x2e2x dx
Every year Monty Industries manufactures 8,600 units of part 231 for use in its production cycle. The per unit costs of part 231 are as follows: Direct materials Direct labor Variable manufacturing...
Show how each of the following products could be synthesized from butanal: (a) 2-Ethyl-3-hydroxyhexanal (b) 2-Ethylhex-2-en-1-ol (c) 2-Ethylhexan-1-ol (d) 2-Ethylhexane-1, 3-diol (the insect...
Parkin Industries, a U.S. company, acquired a wholly-owned subsidiary, located in Italy, at the beginning of the current year, for 200,000. The subsidiary's functional currency is the euro. The...
A sample of Na2SO4(s) is dissolved in 225 g of water at 298 K such that the solution is 0.325 molar in Na 2 SO 4 . A temperature rise of 0.146C is observed. The calorimeter constant is 330. J K 1 ....
Assign a name for each of the following compounds. a. b. c.
a. Using the relationships derived in Example Problem 7.1 and the values of the critical constants for water from Table 7.2, calculate values for the van der Waals parameters a, b, and R from z c , T...
1. Why might managers of small restaurants decide not to adopt the standard work hour approach to controlling labour cost? (minimum 150 words )
Which statement is true regarding the U.S. GAAP impairment test for limited life intangibles? A. U.S. GAAP impairment is likely to be greater than IFRS impairment. B. The impairment test for limited...
Which of the following is a limitation of both return on investment and residual income? A. Favors large units. B. There is disincentive for high return on investment units to invest. C. Can lead to...

Find the inverse function (if it is defined) of the following functions: If f (x) does not

Question:

(a) f(x) = 2x 3 (x in R) 2x-3 (b) f(x) x + 4 (c) f(x) = x + 1 (x in R, x = -4) (x in R)

Step by Step Answer:

a b c fx x 2 1 x does not have an i...View the full answer

Modern Engineering Mathematics

Students also viewed these Sciences questions