Consider the functions f (x) x 2 and f1(x) x 2 Evaluate f (f1(x)) and f1(f (x)) for the given values of x What can you conclude about the functions 10 0 7 45 f(f (x)) f 'Fx))

Question: Consider the functions f (x) = x + 2 and f1(x) = x 2. Evaluate f (f1(x)) and f1(f (x)) for the given values of

Consider the functions f (x) = x + 2 and fˆ’1(x) = x ˆ’ 2. Evaluate f (fˆ’1(x)) and fˆ’1(f (x)) for the given values of x. What can you conclude about the functions?

- 10 0|7 45 f(f-"(x)) f 'Fx))

Step by Step Solution

★★★★★

3.36 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

x 10 0 7 45 ff 1 x ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1383-M-C-P-E(746).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Consider the functions f (x) = e2x and g(x) = x3 + 1. a. Find the inverses of f and g, and use these to find when f (x) = 2 and when g(x) = 2. b. Find f g and g f and evaluate each at x = 2. c....

Consider the functions f (x) = 2x - 3 and g(x) = 6x2. a. What are the domain and range of f (x)? b. What are the domain and range of g(x)? c. Find f (2). d. Find x such that g(x) = 2. e. Find g( f...

Consider the functions f (x) = 4x and g(x) = x + 6. (a) Find (f o g) (x). (b) Find (f o g) 1(x). (c) Find f 1(x) and g1(x). (d) Find (g1 o f1) (x) and compare the result with that of part (b). (e)...

8. [T4] Consider the functions f (x) = ax2 + bx + 13, where a and b E R, and g(x) = - -3. Given that f'(3) = 2 and f (x) and g(x) have parallel tangents at x = 2, determine the values of a and b

\fGiven the functions: f (x) = -2x g (x) = x+7 h( x ) = x+6 Evaluate the function (g- h) (-7) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if...

Given the functions: f(x) = 2x g (x) = x+7 i ( x ) = x+5 Evaluate the function (f+ h) (1) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if...

- 1 2 ) 3 4 5 6 7 Consider the function f (x) - (x + 2) for the domain [-2, co). Find f (x), where f is the inverse of f. Also state the domain of f in interval notation. f (*) - for the domain VO...

\fGiven the functions: f (x) = -6x g (x) = x+7 hx = x- 2 Evaluate the function (h.g) (3) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if...

1 Consider the functions f x 5x 5 and g x x 5 a Find f g x b Find g f x c Determine whether the functions f and g are inverses of each other Use a comma to separate answers as needed B No values...

After the accounts are closed on July 3, 2012, prior to liquidating the partnership, the capital accounts of Rebecca Adams, Austin Cooper, and Ricardo Ruiz are $22,400, $5,300, and $31,900,...

The following was taken from the 2009 annual report of H&R Block: Marketable securities-available for sale: proceeds from the sales of available-for-sale securities were $8.3 million, $13.9 million,...

The 4 0 3 ( b ) and 4 0 1 ( k ) accounts are examples of employee retiremen contribution plans.

5.2 Use marginal analysis to determine the profit-maximizing quantity that a perfectly competitive firm produces in the short run.

P = 0.0461 The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a) = 0.01, (b) = 0.05, (c) = 0.10.

Claim: 22,500; = 0.01; = 1200 Sample statistics: = 23,500, n = 45 Test the claim about the population mean at the level of significance . Assume the population is normally distributed. If...

Imagine you are a provider of portfolio insurance. You are establishing a four-year program. The portfolio you manage is currently worth $70 million, and you promise to provide a minimum return of...

1. A person randomly selected four bags of carrots (each labeled 20 pounds) and weighed the bags.They weighed 20.5, 19.8, 20.8, and 20.0 pounds.Assume that the distribution of the population is...

PLEASE HELP ANSWER THIS!!! The Stancil Corporation provided the following current information: Proceeds from long-term borrowing $ 18,500 5,500 22,500 Proceeds from the sale of common stock Purchases...