Question: If y = f(x) = x 2 + 2x and y = g(x) = x 1, obtain the composite functions f(g(x)) and g(f(x)).

If y = f(x) = x2 + 2x and y = g(x) = x – 1, obtain the composite functions f(g(x)) and g(f(x)).

Step by Step Solution

★★★★★

3.41 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To obtain fgx replace x in the expression for fx by gx ... 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 Modern Engineering Mathematics Questions!

Q:

Calculate the composite functions f g and g f, and determine their domains. 27. f (x) =x, g(x) = x + 1 29. f(x) = 2x , g(x) = x2

Q:

In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all numbers x (if any) such that f(g(x)) = g(f(x)). f(x)=x, g(x) = 1 - 3x

Q:

1. [-/1 Points] DETAILS TANAPCALC10 2.2.002.MI. Let f(x) = x' + 9 and g(x) = x2 - 8. Find the rule for the function. f - g Need Help? Read It Master It 2. [-/1 Points] DETAILS TANAPCALC10 2.2.014....

Q:

3 f x x 2 f g f g fg Domain x x 1 2x 1 8 x f g X 2 X 2x 1 x 1 x 2 x 1 x 2x 1 2x 1 x 1 x 2 X 2x 1 x 1 Domain x 1 x 1 Domain x 2 X 2x 1 x 1 x x 2 2x 1 x 1 2x 1 Domain x 2 x 1 x 2x 1 2x 1 x 1 2x 1 X X...

Q:

For f x x and g x x 8 find the following composite functions and state the domain of each a fog b gof c fof d gog a fog x Simplify your answer Select the correct choice below and fill in any answer...

Q:

2 For f x x and g x x 4 find the following composite functions and state the domain of each a fog b gof c fof d gog c f of x Simplify your answer Select the correct choice below and fill in any...

Q:

I need help Question 2: The following question was on a test: 4 f( x) = Verify that x- 2 and g( x) = - 2 are inverse functions. Student Parker answered the question as follows: 4 4 16 f ( 8 ( x) ) =...

Q:

For f x 9x 9 and g x x find the following composite functions and state the domain of each a fog b gof c fof d gog ww a fog x 9x 9 Simplify your answer Select the correct choice below and if...

Q:

For f x x and g x 5x 8 find the following composite functions and state the domain of each a fog b gof c fof d gog GEOOR a fog x Simplify your answer Select the correct choice below and fill in any...

Q:

Solve the triangle with A = 61, a = 16 ft., C = 79 Round all answers to 4 decimal places. 1. This type of triangle setup is 2. First compute B 3. Now compute the two side lengths. C= ft 4. Check to...

Q:

For each of the following variables, explain why it should be considered either continuous or categorical: a. Whether or not a university played in a football bowl game during 2006 b. The average...

Q:

To complete your Final Project for CTI 1 1 0 , you must create a stand - alone Web site about bugeting and organization. Your site must fulfill the following requirements. Three to five individual...

Q:

Prepare a receipts and payments account from the following information for Gosforth Gardeners Association, showing the cash balance at the end of the year: Cash at start of year 1,270 Bulk purchase...

Q:

Assign a name for each of the following compounds. Be sure to assign the configuration of each chirality center and indicate the configuration(s) at the beginning of the name. a. b. c. Me

Q:

Identify the reactants you would use to form a racemic mixture of each of the following epoxides: a. b. c. d. Mery Me

Q:

Assume that the equation of state for a gas can be written in the form P(V m b(T)) = RT. Derive an expression for = 1/V (V /T)P and = 1/V (V /P)T for such a gas in terms of b(T), db(T)/dT, P, and...

Q:

Ch 21 Learning exercises Variable and Absorption Costing-Three Products Winslow Inc. manufactures and sells three types of shoes. The income statements prepared under the absorption costing method...

Q:

Need Table Factors Exercise B-11 (Static) Present value with semiannual Compounding LO C1, P3 Otto Company borrows money on January 1 and promises to pay it back in four semiannual payments of...

Q:

The current price of Parador Industries stock is $46 per share. Current sales per share are $22.30, the sales growth rate is 3 percent, and Parador does not pay a dividend. The expected return on...