The functions f and g are defined as f(x) = x(x 2) and g(x) = x
Question:
The functions f and g are defined as f(x) = x(x − 2) and g(x) = x + 5, x ∈ ℝ. Given that f(a) = g(a) and a > 0, find the value of a to three significant figures.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
To find the value of a we need to equate the values of fa an...View the full answer
Answered By
Ma Kristhia Mae Fuerte
I have extensive tutoring experience, having worked as a private tutor for over three years. I have tutored students from different academic levels, including high school, undergraduate, and graduate levels. My tutoring experience has taught me to be patient, attentive to student needs, and effective in communicating difficult concepts in simple terms.
I have a strong background in statistics, probability theory, data analysis, and data visualization. I am proficient in using statistical software such as R, Python, and SPSS, which are commonly used in academic research and data analysis. Additionally, I have excellent communication and interpersonal skills, which enable me to establish rapport with students, understand their learning styles, and adapt my teaching approach to meet their needs.
I am passionate about teaching and helping students achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
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 functions f and g are defined by these sets of input and output values. g = {(1, 2), (- 2, 4), (5, 5), (6, - 2)} f = {(2, 1), (4, - 2), (5, 5), (- 2, 6)} a. Find g( f (2)). b. Find f (g(6)). c....
-
The functions f and g are defined by these sets of input and output values. g = {(1, 2), (- 2, 4), (5, 5), (6, - 2)} f = {(0, - 2), (4, 1), (3, 5), (5, 0)} a. Find g( f (4)). b. Find f (g(- 2)). c....
-
Coca-Cola is seeking: To determine the effect of age on intention to purchase Coke Zero; To examine the effect of price on intention to purchase Coke Zero. What are the independent variable(s) and...
-
Martin Wishnatsky worked as a paralegal for attorney Peter Crary. While Crary was engaged in a conversation with North Dakota Assistant Attorney General David Huey in Crary's office, Wishnatsky...
-
In order to examine the specificity of membrane fusion conferred by specific v-SNAREs and t-SNAREs, researchers reconstituted liposomes (artificial lipid membranes) with specific t-SNARE complexes or...
-
Heritage, a general contractor, had filed a breach of contract action against an electrical subcontracting firm that had withdrawn its bid right before the contract was to be performed. A jury had...
-
An information systems consultant who lives in Dallas must spend the majority of the month of March onsite with a client in San Diego. Her travel schedule for the month is as follows: Leave Dallas...
-
if assets are 1 1 5 , 0 0 0 , owner investments are 2 9 , 0 0 0 , loss of 2 5 , 5 0 0 and owner withdrawals are 6 , 9 0 0 . what are the liabilities
-
Thaarugo, Inc., produces a GPS device that is becoming popular in parts of Scandinavia. When Thaarugo produces one of these, a printed circuit board (PCB) is used, and it is populated with several...
-
a. Sketch the graphs of y = x 2 (x 1)(x + 1) and y = 1/3x 3 + 1. b. Find the number of real solutions to the equation 3x2(x 1)(x + 1) = x 3 + 3.
-
a. Factorise completely x 3 6x 2 + 9x. b. Sketch the curve of y = x 3 6x 2 + 9x showing clearly the coordinates of the points where the curve touches or crosses the axes. c. The point with...
-
1. There are three sections of English 101. In Section I, there are 25 students, of whom 5 are mathematics majors. In Section II, there are 20 students, of whom 6 are mathematics majors. In Section...
-
Explain financial options and how they are applied in corporate finance. ( with references )
-
What are the two steps in the marketing process? Compare and contrast the product development process with the customer development process. What is the difference between the two and what are their...
-
Is there a downside to low interest rates? Ever since the 2008 Financial Crisis, the central banks world-wide have been keeping interest rates very low. In this lecture, you will learn how interest...
-
For the coding part of the midterm 2 you need to write down a Chomsky normal form context free grammar that will solve the balanced parentheses problem from homework 3 including the bonus part. For...
-
Two firms enter into a three-year currency swap requiring semi-annual payments. By the end of the swap, how many payments the two firms have exchanged? a) 12 b) 14 c) 16 d) 10
-
Create a 90% confidence interval estimate for the difference in the proportions of customers who bought the extended warranty for the two promotion methods described in Exercise 4 above. Do you...
-
Graph one period of each function. y = 4 cos x
-
Given that a = 53 or 3 ti + 2tj + tk, and that |a| = 3 10, find the possible values of t.
-
Given that a = ti + 2j + 3k, and that |a| = 7, find the possible values of t.
-
The vectors a and b are defined by Given that a + 2b = 5i + 4j, find the values of p, q and r. a = 1 2 and b = 9 -4/ ().
-
Determine the tension in cable CB and cable AC with alpha = 20 00 1200 lb
-
(C) Three pinned-end columns have the same material, same length and same cross-sectional area as shown in Fig. 2. The columns are free to buckle in any direction. The columns have cross sections as...
-
This payment method for commercial payer contracts, usually for managed care, is a fixed amount a provider is paid to provide services to a patient or group of patients over a pre-specified period of...
Study smarter with the SolutionInn App