The functions f and g are defined by f(x) = 3x 2, x g(x)
Question:
The functions f and g are defined by
f(x) = 3x − 2, x ∈ ℝ
g(x) = x2, x ∈ ℝ
a. Find an expression for fg(x).
b. Solve fg(x) = gf(x).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
a To find an expression for the composite function fgx you need to substitute gx ...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
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
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 = {(0, - 2), (4, 1), (3, 5), (5, 0)} a. Find g( f (4)). b. Find f (g(- 2)). 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 = {(2, 1), (4, - 2), (5, 5), (- 2, 6)} a. Find g( f (2)). b. Find f (g(6)). c....
-
Write balanced equations based on the information given. (a) Solid magnesium + oxygen gas solid magnesium oxide (b) Nitrogen monoxide gas + oxygen gas nitrogen dioxide gas (c) Gaseous ethane(C2H6)...
-
The following selected transactions are from Springer Company. 2012 Nov. 1 Accepted a $ 4,800, 90-day, 8% note dated this day in granting Steve Julian a time extension on his past-due account...
-
Why might managers resist buying a more expensive piece of equipment, known to have a lower TCO, than a less expensive item?
-
Medical gamma imaging is generally done with the technetium isotope \({ }^{99} \mathrm{Tc}^{*}\), which decays by emitting a gammaray photon with energy \(140 \mathrm{keV}\). What is the mass loss of...
-
At the Hard Rock Caf, like many organizations, project management is a key planning tool. With Hard Rocks constant growth in hotels and cafes, remodeling of existing cafes, scheduling for Hard Rock...
-
Swifty Auto Repairs is a service firm that uses a job costing system. Direct labor consists of mechanics' pay. Direct materials consist of auto parts. Manufacturing overhead costs include items such...
-
For each function: i. Represent the function on a mapping diagram, writing down the elements in the range ii. State whether the function is one-to-one or many-to-one. a f(x) = 2x + 1 for the domain...
-
If n 2 is odd then n is odd. a. Write down the negation of this statement. b. Prove the original statement contradiction.
-
Find the indicated angle measure. fino mZADC = ?
-
What does the IS curve show? Why does it slope downward?
-
Explain the consequences of each of the following events on the desired level of capital stock for the next period according to the neoclassical theory of investment: a) An autonomous easing of...
-
What causes the IS curve to shift?
-
As announced by the Obama administration, part of the 2009 fiscal stimulus package was directed to making broadband Internet access available to most Americans. a) Should this plan be considered...
-
What is the monetary policy curve? Why does it slope upward?
-
The biological effects of a particular source of radiation depend on several factors. List some of these factors. Even though 85Kr and 90Sr are both -particle emitters, the dangers associated with...
-
Complete the following acid-base reactions: (a) HCCH + NaH
-
Some investigators believe that the effects of diet on cholesterol are more evident in people with high rather than low cholesterol levels. If you split the data in Table 2.15 according to whether...
-
Compute the arithmetic mean and median for the difference in systolic and diastolic blood pressure, respectively, taken in different positions (recumbent minus standing)? Table 2.16: Effect of...
-
Construct stem-and-leaf and box plots for the difference scores for each type of blood pressure? Table 2.16: Effect of position on blood pressure a Systolic blood pressure b Diastolic blood pressure...
-
Appraise the use of SDL for geometry rendering. SDL has primitive functions for drawing points, lines and rectangles. You are required to write a SDL program that produces the following graphical...
-
Implement a C++ program that helps to explain the syntax and the use of data structures such as arrays and pointers. These data structures form part of the data members and constructors in a C++...
-
function eye. Create the matrix A given below using MATLAB built-in 5 0 0 0 0 5 0 0 0 A= 0 0 5 00 0 5 0 5. Problem 2 (30pts): Write MATLAB commands to create a vector t from 1 (start value) to 20...
Study smarter with the SolutionInn App