The functions f and g are defined for x R by f: x 10x +
Question:
The functions f and g are defined for x ∈ R by f: x ↦ 10x + x² g: x↦ 2x − 1. Express fg(x) in the form a(x + b)² + c, where a, b and care constants.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
ANSWER To find fgx we need to substitute gx into fx where...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
The functions f and g are defined for x R by f: x 2x 1 g: x x + x. Express gf(x) in the form a(x + b) + c, where a, b and care constants.
-
The functions f and g are defined for x R by f: x 4x 1 g: x 2x + k. Find the value of k for which fg = gf.
-
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 following set of dotplots with overlaid boxplots gives the number of pairs of flip-flops students said they owned for 13 males (top) and 37 females (bottom) in a statistics class. The five-number...
-
The following Pareto chart represents Internet users in the top 10 countries as of June 2010. (a) Which country had the most Internet users in 2010? (b) Approximately how many Internet users did the...
-
How many hats must Anthony sell to break even if his supplier raises the price of the hats to $ 2 1 per hat?
-
Basic Chemicals Ltd produces a highly flammable chemical product. The company experienced a flood on 1 April 2025 that destroyed its entire work in process inventory but did not affect the raw...
-
This case provides a history of Chevrolet, a review of its product line and marketing program, and a discussion of Chevrolets competitiveness against its rivals. There are many ways to approach this...
-
Convert functions to logic circuits: 3.1) f=(B+C+D) (A+C+D') (C'+D) 3.2) f=(CD)+(CD)+(ABD) 3.3) f=(A'C)+(A'D)+(B C') + (BD)
-
A major pharmaceutical wholesaler buys brand drugs from a manufacturer at wholesale prices and sells them to pharmacies at retail prices. It estimates that the wholesale (W) price, the retail (R)...
-
For each of the following functions state i) The greatest possible domain for which the function is defined ii) The corresponding range of the function iii) Whether the function is one-to-one or...
-
Find the range of the function defined by f(x) = 2.4. x + 1 when -3 x0 when 0 < x < 2
-
In Prob. 3.26, determine the perpendicular distance from point D to a line drawn through points A and B. Problem 3.26: A wooden board AB, which is used as a temporary prop to support a small roof,...
-
Funding required = 40 million Current market price Po = 2 Discount d= 20% S Ps = 2 (1- 0.2)= 1.60 Px = 1.92 Outstanding Shares N= 100 million Explain the impact on the value of the right if the issue...
-
World Travel leases airplanes to airline companies around the world. World Travel is contemplating buying 2 5 additional airplanes for its fleet. It is confident that this purchase will not affect...
-
"What key factors should a company consider when designing a new product or service to ensure it meets customer needs and market demands?"
-
Re-ply to of your classmate about their brand-name ideas. Critique, add to their ideas, and discuss whether they are marketable.In general, trade dress is the commercial image of a product or service...
-
Value investor Mohnish Pabrai ( 2 0 0 7 ) wrote the Dhandho Investor: The Low - Risk Value Method to High Returns. Pabrai sums up the Dhandho approach as heads, I win; tails, I dont lose much!...
-
If money in a new TFSA earns 8.25% compounded monthly, how long will it take for the plan to reach $30,000 in value based on end-of-month contributions of $209.59?
-
Compare and contrast licensing and subcontracting.
-
Perform the significance test in Problem 10.27, and report a p-value? Diabetes Improving control of blood-glucose levels is an important motivation for the use of insulin pumps by diabetic patients....
-
Test for differences in renal mortality between the two groups in either direction, and report a two-tailed p-value? Renal Disease A study group of 576 working women 3049 years of age who took...
-
What statistical test should be used to compare the total mortality experience of the study group with that of the control group? The cohort was also followed for total mortality. The researchers...
-
A 9 Loan amount Annual interest rate Number of years until maturity Annual payment amount B $300,000.00 Date Graded Worksheet 7% 4 On January 1, 2024, a company borrows cash from a local bank by...
-
As we have seen in this course, virtually every generation has felt that the existing threat to its privacy was unprecedented in nature. That said, the sheer capacity to collect metadata which exists...
-
In 1982 the inflation rate hit 16%. Suppose that the average cost of a textbook in 1982 was $20. What was the expected cost in the year 2017 if we project this rate of inflation on the cost? (Assume...
Study smarter with the SolutionInn App