The following mappings f and g are defined on all the real numbers by a. Explain why

Question:

The following mappings f and g are defined on all the real numbers by

a. Explain why f(x) is a function and g(x) is not.

b. Sketch y = f(x).

c. Find the values of:

i. f(3)

ii. f(10)

d. Find solution of f(a) = 90.

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

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 08, 2023 03:26 AM

See More Questions

Corporate Venture Capital at Eli Lilly Read the case study and answer the following questions: What is the role of corporate venture capital? What is your assessment of Lilly Ventures? What should...
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 function f and g are defined for real values of x by a. Find gf(37). b. Find an expression for f -1 (x). c. Find an expression for g -1 (x). f(x) = Vx 1 -3 for x> 1, x - 2 g(x) = for x > 2. %3D...
In Exercises 1114, graph each equation in a rectangular coordinate system. If two functions are indicated, graph both in the same system. Then use your graphs to identify each relations domain and...
Foxburo Company expects to pay a $ 2.34 per share cash dividend this year on its common stock. The current market value of Foxburo stock is $ 32.50 per share. Compute the expected dividend yield on...
On September 1, 2015, Health Wise International acquired a 12 percent, nine-month note receivable from Herbal Innovations, a credit customer, in settlement of a $22,000 account receivable. Prepare...
Two populations of monkeys are growing logistically. One population has carrying capacity K = 1000, and the other population has carrying capacity K = 5000. Describe how their population growth...
Bertram writes a check for $200 payable to cash. He puts the check in his pocket and drives to the bank to cash the check. As he gets out of his car in the banks parking lot, the check slips out of...
describe how you would deal with the situation. In your answer, please include 1) a description of the relevant stakeholders; 2) identification of the competing interests of the stakeholders, 3) the...
Show that can be written in the form and find the values of the constants D and E. 16x 1 (3x + 2)(2x - 1)
Find three commercially available adhesives from your home, a laboratory, a machine shop, or your workplace. Try to identify the generic nature of the adhesive, and compare it with the list presented...
Gourmet Bones manufactures its own brand of pet chew bones. At the end of December 2018, the accounting records showed the following: Other information: Direct materials purchases...
To which type of healthcare company would the acid test ratio likely be more applicable than the current ratio? Why?
Can an organization gain and sustain competitive advantage by having cutting-edge technology? What problems are inherent in this approach?
How are strategic plans and business plans similar?
How are strategic plans and business plans different?
How could an ACO use a matrix structure to coordinate care?
Hydrogen gives off 120 J/ g of energy when burned in oxygen, and methane gives off 50 J/ g under the same circumstances. If a mixture of 5.0 g hydrogen and 10. g methane is burned, and the heat...
Explain briefly what is meant by electronic data interchange (EDI). How does EDI affect a companys audit trail?
What is the conditional probability that the woman will be affected given that the man is affected? How does this value compare with the prevalence in Table 3.5? Why should it be the same (or...
What is the probability that at least one member of the couple is affected? Suppose the probability that both members of a married couple, each of whom is 7579 years of age, will have Alzheimers...
What is the expected overall prevalence of Alzheimers disease in the community if the prevalence estimates in Table 3.5 for specific agegender groups hold? Suppose a study of Alzheimers disease is...
Snowy Corporation allows customers to pay with credit cards. The credit card company charges 2.5% of the total sale. If Snowy makes a sale for $40,000, how much revenue will be recorded? Show your...
In May 2024, Paucek Tire Company had a customer pay $475 for a new set of tires with rotating and balancing services for the life of the tires. Paucek gave the customer a coupon for $50 off a future...
XYZ Company (C Corporation), a calendar year taxpayer, paid $6,500,000 for an apartment complex and allocated $500,000 of the cost to the land. XYZ place the realty in service on November 11 of the...

The following mappings f and g are defined on all the real numbers by a. Explain why

Question:

f(x) = 4x, x < 4 x² +9₁ x 4 4-x, x<4 x² +9, x>4 S g(x) =

Step by Step Answer:

a gx is not a function ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions