a. Find fg(x). b. Find the range of the function fg(x). f(x) = x 2 5x
Question:
a. Find fg(x).
b. Find the range of the function fg(x).
f(x) = x2 − 5x for x ∈ ℝ
g(x) = 2x + 3 for x ∈ ℝ
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
ANSWER a To find fgx we need to plug in gx into fx wherever there is an x So we have ...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
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Listed below is the number of car thefts in a large city over the last week. Calculate the coefficient of skewness using both methods. 13 7 8 3 8 3 12 3
-
The range of the function (x) = 1/x is all real numbers. Determine whether each statement is true or false, and explain why.
-
Suppose the range of a function f is [5, 8]. What is the range of |f(x)|?
-
What type of motor would you specify for a meat grinder if the motor is to be exposed?
-
The data for gas mileage and engine displacement for 121 vehicles from Exercise 4.72 are on the WeissStats CD. In exercise The magazine Consumer Reports publishes information on automobile gas...
-
The centrifugal pump delivers \(50 \mathrm{~kg}\) of water per second. The inlet and outlet pressures are 1 bar and 4.2 bar respectively. The suction is \(2.2 \mathrm{~m}\) below the center of the...
-
Examine how the rank of the stoichiometric matrix can be used to reduce the number of equations to be solved. For example, if there are \(n_{\mathrm{s}}\) components and \(n_{\mathrm{r}}\) equations...
-
Below are listed various costs that are found in organizations. 1. Hamburger buns in a Wendys outlet. 2. Advertising by a dental office. 3. Apples processed and canned by Del Monte. 4. Shipping...
-
What is the difference in revenue and expense recognition between the cash basis of accounting and the accrual basis of accounting?
-
Name the fallacy in each statement below and explain why it is fallacious. 1. The best restaurant in New York city is either buddy's bistro or clyde's emporium. 2. Everyone is going to buddy's...
-
The diagram shows the curve y = 7x and the line y = 6x + k, where k is a constant. The curve and the line intersect at the points A and B. i. For the case where k = 2, find the x-coordinates of A and...
-
A line has equation 2x + y = 20 and a curve has equation where a is a constant. Find the set of values of a for which the line does not intersect the curve. 18 x-3 y = a +-
-
Estrogens produce a wide variety of systemic effects. Effects attributed to estrogen include a. Protecting the heart from atherosclerosis. b. Retaining calcium in the bones. c. Maintaining the...
-
For a typical ETF, which of the following sources of tracking error is most likely to be the smallest contributor to tracking error? A. Representative sampling B. Fees and expenses incurred by the...
-
Factor (smart beta) strategy ETFs are least likely to be used by investors: A. to modify portfolio risk. B. for tactical trading purposes. C. to seek outperformance versus a benchmark.
-
Walker Patel is a portfolio manager at an investment management firm. After successfully implementing meanvariance optimization (MVO), he wants to apply reverse optimization to his portfolio. For...
-
An ETFs reported tracking error is typically measured as the: A. standard deviation of the difference in daily returns between an ETF and its benchmark. B. difference in annual return between an ETF...
-
Which of the following statements regarding applications of ETFs in portfolio management is correct? A. Equity ETFs tend to be more active than fixed-income ETFs. B. The range of risk exposures...
-
Write a rate equation, showing the dependence of rate on reactant concentrations, for each of the following elementary reactions. a. CS2 CS + S b. CH3Br + OH CH3OH + Br
-
What are the two components of a company's income tax provision? What does each component represent about a company's income tax provision?
-
The mass of waste produced by a school during its three 13-week terms is given in tonnes, correct to 2 decimal places, in the following table. a. Calculate estimates of the mean and standard...
-
Twenty values of x are summarised by (x 1) 2 = 132 and (x 1) = 44. Eighty values of y are summarised by (y +1) 2 = 17 704 and (y +1) = 1184. a. Show that x = 64 and that x 2 = 240. b. Calculate the...
-
The following table shows the cumulative frequencies for values of x. Without drawing a cumulative frequency graph, find: a. The interquartile range b. The 85th percentile. <0 <10 <15 < 25 <30 < 40 ...
-
Providing information for 2021: Total assets $165,221, Net income: $3,832, Debt ratio: 61.0%, Net Assets: $64,474, ROE: 13.7% 2020: Total Assets: $123,067, Net Income: $7,930, Debt ratio: 56.0%, Net...
-
What law was designed to protect the accuracy and privacy of credit reports?
-
What your company owns, what your debts are, and what you have invested, display this report?
Study smarter with the SolutionInn App