Question: Given that f(x) = 2x + 1 and g(x) = 3 x, and x R, find a) fg(2) b) gf(x).

Given that f(x) = 2x² + 1 and g(x) = 3 − x, and x ∈ R, find 

a) fg(−2) 

b) gf(x).

Step by Step Solution

★★★★★

3.54 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To find fg2 we first need to calculate g2 g2 3 2 5 Then we ... 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 Complete Pure Mathematics Questions!

Q:

Corporate Venture Capital at Eli Lilly Read the case study and answer the following questions: What is the role of corporate venture capital? What is your assessment of Lilly Ventures? What should...

Q:

Find the functions f o g, g o f, f o f, and g o g and their domains. 35. f(x) = 2x - x. g(x) = 3x + 2 %3D %3D 36. f(x) = 1- x', g(x) = 1/x 37. f(x) = sin x. g(x) = 1- V %3D 38. f(x) = 1 - 3x. g(x) =...

Q:

Find f o g o h. 41. f(x) = x + 1. x) = 2x. h(x) = x - 1 42. f(x) = 2x - 1. g(x) = x. (x) = 1 - x 43. f(x) = Vx- I, g(x) +2. h(x) = x+ 3 44. f(x) g(x) cos x. h(x) = + 3 X +1

Q:

Given that f x 2x 1 and g x 1 x find the composition function fog x f g x expression f g x expression fog x expression fog 2 Enter your solution as a fully simplified Enter your solution as a fully...

Q:

Apex Learning Apex Learning - Course: X Microsoft Word - AP_Ca x Course Hero x Dashboard | Common A| X Microsoft Word - AP_Ce X A Gradebook Details X Main Idea 1.pdf C...

Q:

Mat-129 precalculas 10. Consider f (x) = x2 + 2x and g (x) = Vx - 4. a. (3 pts) Find f(g (x)). Simply your answer. b. (3 pts) Find 9(x) f (x ) c. (4 pts) What is the domain of ? Use interval...

Q:

1 Let f x 2x 1 and g x Find f g x f g x fg x and f g x Simplify your answer VEU x Give the domain of each

Q:

Please help me Unanswered Question 4 2 pts Given g (h (z)) = 5(47+1) 3 Which of the following could represent g (x) and h ()? Select all that apply. 9 (1) = a 3 and h (1) (4x + 1)2 - and h (x) Ar...

Q:

For each pair of functions f and g below, find f g (x)) and g (f(x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your...

Q:

\f\f\fAssume f (x ) = 2x - 1 and g (x) = -3x + 2. Find: g (f (1)) = 7 8 9Assume f (x) = 2x2 - 1 and g (x) = -3x + 2. Find: f (g (f (0))) 8 4 5 6

Q:

(i) The type of sampling when a population is first divided into subgroups and then a sample is selected from each subgroup is called stratified random sampling. (ii) Auditors may select every 20th...

Q:

On July 1, 2014, Joe, Kline, and Lama began a partnership in which Joe and Kline each contributed cash of $200,000; and Lama contributed property with a fair value of $100,000 and a tax basis...

Q:

adjust an MIRR of 1 3 . 0 8 for unequal lives

Q:

Avogadro Constant If you are asked on a quiz to give the first (leftmost) nonzero digit of the Avogadro constant and, not knowing the answer, you make a random guess, what is the probability that...

Q:

Test the hypothesis that the duration of effusion is different among breastfed babies than among bottle-fed babies using a nonparametric test? Otolaryngology, Pediatrics A common symptom of otitis...

Q:

What parametric test could be used to test for the effect of linoleic acid on SBP? Hypertension Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular...

Q:

Perform the test in Problem 9.17, and report a p-value? Hypertension Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The principal dietary...

Q:

EXPLAIN PLEASE On June 30, 2021, the Esquire Company sold some merchandise to a customer for $54,000. In payment, Esquire agreed to accept a 7% note requiring the payment of interest and principal on...

Q:

Corinne Dunbar, M.D., maintains the accounting records of Dunbar Clinic on a cash basis. During 2012, Dr. Dunbar collected $144,600 from her patients and paid $61,310 in expenses. At January 1, 2012,...

Q:

Jaynes Incorporated acquired all of Aaron Company's common stock on January 1, 2023, by issuing 11,000 shares of $1 par value common stock. Jaynes' shares had a $17 per share fair value. On that...