Question: Given f(x) = 2x 2 + 4x and g(x) = _ 1/2x , find f + g, f g, fg, and f/g . Determine

Given f(x) = 2x2 + 4x and g(x) = _ 1/2x , find f + g, f − g, fg, and f/g . Determine the domain for each function in interval notation.

Step by Step Solution

★★★★★

3.47 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fx 2x 2 4x gx 12x for fg ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus 1st Questions!

Q:

For each function in Exercise 2, determine whether that function is (x2) and whether it is (x2).

Q:

For each function in 9a and b, find the value of the expressions in i to iv. a. f (x) = 6.34x - 140 b. f (x) = 1.8x + 32 i. f-1(x) ii. f(f-1(15.75)) iii. f-1(f (15.75)) iv. f(f-1(x)) and f-1( f (x))...

Q:

For each function in Exercises 1-6, state: a) The maximum number of real zeros that the function can have; b) The maximum number of x-intercepts that the graph of the function can have; and c) The...

Q:

show work on paper The values of several terms in a sequence are shown in the table. Term Value Second Fourth 12 Seventh 22.5 Find the first term, f (1) A(1)A system of equations is given Jy+ 2= 3 (x...

Q:

You may NOT use your calculator on the following three questions 14 S 4 3 2 H Let f x M 2 3 1 g x Let g be a function whose domain is the closed interval 0 8 The graph of g is shown above The graph...

Q:

Question 24 (2 points) Given f x - Vac + 2 and g(a) = ac + 5, write the simplified expression for the composite function g( f (x ) ) . Also, determine the domain and range of the composite function....

Q:

\f9 - 12 Simplify - Leave in Rational form 9. g(x) = 12x + 8 10. g(x) = x -2 f (x) = 4x - 2 f (x) = 3x-5 Find 9 Find (g . f) 11. f(x) = x+3 12. f(x) = 12x3 + 15x2 - 6x g(x) = x2 +5 g(x) = 3x Find (f...

Q:

Legibly Printed Family/Last Name: Legibly Printed Given/FirstName: Signature: M119 Seat number: EXAM 3 14th April 2015 READ THIS: For each of the problems that begin on the next page, find the one...

Q:

Module One Post-Assessment: P X *Homework Help - Q&A from Onlit x + X C ncvps.instructure.com/courses/41897/quizzes/2197503?module_item_id=17543186 CMS Bookmarks 5 hiragana-chart.jpg. Practice...

Q:

On these 8 problems, I've tried many times on each one what it says to do in the textbook but to no avail Given f (x) = x2 + 8x and g (a) = 9 - x2, find f + g, f - g, fg, and Enclose numerators and...

Q:

Suppose a small island near the Middle East produces oil, which is extracted from the ground, and olive oil, from all of the olives grown on the island. The information in the following table shows...

Q:

How could you separate a mixture of the following compounds? The reagents available to you are water, ether, 1.0 M HCl, and 1.0 M NaOH. COOH OH pKa 4.17 pKa 4.60 pKa 9.95

Q:

A C + + identifier can start with a digit True False Reset Selection

Q:

2. In Country A, the production of 1 bicycle requires using resources that could otherwise be used to produce 11 lamps. In Country B, the production of 1 bicycle requires using resources that could...

Q:

If the circumference of a circle is 6p, what is its radius?

Q:

In problem, find the length of each side of the triangle determined by the three points and . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An...

Q:

In problem, find an equation for the line with the given properties. Express your answer using either the general form or the slopeintercept form of the equation of a line, whichever you prefer...

Q:

The WACC is used as the discount rate to evaluate various capital budgeting projects. However, it is important to realize that the WACC is an appropriate discount rate only for a project of average...

Q:

Spreadsheet Exercises Using the spreadsheet below, calculate: Total returns for the S&P 500 for each year from 1991 through 2010 Cumulative wealth for the first 10 years (1991- 2000) and for the...

Q:

nment: Chapter 10 Practice Problems Assignment Score: 60.00% Save Submit Assignment for Grading tions Problem 10-21 Algo (Some Useful Excel Functions for Modeling) Question 5 of 5 Check My Work eBook...