The function f(x) is defined by f : x x 2 + 6x 4, x

Question:

The function f(x) is defined by f : x ↦ x² + 6x − 4, x ∈ ℝ, x > a, for some constant a.

a. State the least value of a for which f⁻¹ exists.

b. Given that a = 0, find f⁻¹, stating its domain.

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 05, 2023 01:55 AM

See More Questions

Use the following portfolio information to answer question (use 2 decimals i.e. 6.25%): Assets Portfolio Allocation% Expected Rate of Expected Standard Deviation Return Risk-Free Assets T-Bills Risky...
A random variable X is defined by Z = log A, where EZ = 0. Is EX greater than, less than, or equal to 1?
The unstretched length of the spring is 0.4 m.When the 50 kg mass is suspended at B, the length of the spring increases to 0.45 m. What is the spring constant k? (Figure 1) Express your answer with...
1. Debate whether or not online retailers should be required to collect state sales taxes. Suggest an equitable solution to this issue. 2. Research online tax rules. Look specifically at the 1992...
Explain the meaning and significance of interperiod equity.
Explain the difference between power transformer, voltage (potential) transformer, and current transformer.
8. The concept of partnership dissociation has a technical meaning under the provisions of UPA. Explain the concept.
Speier Company estimates that 240,000 direct labor hours will be worked during 2012 in the Assembly Department. On this basis, the following budgeted manufacturing overhead data are computed. It is...
Harp Brewing received a bankruptcy notice from their customer Jerry. Musing an allowance method, the entry to write-off his balance of $1,300 would be: Bad Debts Expense IST 300 Allowance for...
The function n(x) is defined by a. Find n(3) and n(3). b. Solve the equation n(x) = 50. n(x) = f5-x, x0 x, x>0
Who would NOT be held accountable for the behavior described in an organizations code of ethics? a. Vendors b. Managers c. Salaried workers d. Part-time workers
Creative Technology, a computer hardware company based in Singapore, developed the modern standard for computer sound cards in the early 1990s. Recently, Creative has released a line of portable...
Sketch plane / intersecting plane K. Then draw a line & in plane J that intersects plane Kat a single point. A X C B D E
Use a graphing utility to verify any five of the graphs that you drew by hand in Exercises 126. Data from exercise 1-26 1. x + 2y = 8 3. x2y> 10 2. 3x6y 12 4. 2xy > 4
The following information pertains to Porter Company for 2011. Ending inventory consisted of 30 units. Porter sold 320 units at $\$ 30$ each. All purchases and sales were made with cash. Required...
In Problems 7780, use a numerical integration routine on a graphing calculator to find the area bounded by the graphs of the indicated equations over the given interval (when stated). Compute answers...
Solar Heating, Inc., had the following transactions for 2011: Required a. Determine the quantity and dollar amount of inventory at the end of the year, assuming Solar Heating Inc. uses the FIFO cost...
How can asymmetric information problems lead to a bank panic?
If your school has a subscription to the FASB Codification, go to aaahq.org/ ascLogin.cfm to log in and prepare responses to the following. (a) What is the stock dividend? (b) What is a stock split?...
A student at your school wants to survey students regarding their credit card use. She decides to conduct the survey at the student center during lunch hour by interviewing every fifth person leaving...
Organize the data in Exercise 1 into a class interval frequency distribution using 10 intervals with frequency (f) and relative frequency (rf) columns. s8
Which type of figure should be used to represent the data in Exercise 1a bar graph, histogram, or frequency polygon? Why? Draw the appropriate figure for these data. s8
Which of the following programs covers custodial care? A HMOs B Medicare Part B C PPOs D Medicare Part A E Medicaid
uppose a taxpayer has exhausted his lifetime exclusion amount and has $14 million. a. Assuming a flat 40% gift tax rate, what is the maximum amount a taxpayer can transfer to her daughter (and still...
Physical Units Method, Relative Sales Value Method Farleigh Petroleum, Inc., is a small company that acquires high - grade crude oil from low - volume production wells owned by individuals and small...

The function f(x) is defined by f : x x 2 + 6x 4, x

Question:

Step by Step Answer:

a a...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions