Question: Show that f(x) is a self-inverse function, that is f(x) = f 1 (x) f(x)= x/ x 1, x R, x 1.

Show that f(x) is a self-inverse function, that is f(x) = f−1(x)

f(x)= x/ x −1, x ∈ R, x ≠ 1.

Step by Step Solution

★★★★★

3.39 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER To show that fx is a selfinverse function we need ... 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:

14 Show that if y f (x) is a concave function on R1, then z f ( 1 x) is a convex function [assume that f (x) 0].

Q:

Show that the function f defined by f (x) := x = x/x2 + 1; x R, is a bijection of R onto {y : 1

Q:

Show that f (x) is a discontinuous function for all x where f (x) is defined as follows: Show that f (x)2 is continuous for all x. 1 for x rational f(x)=I-1 for x irrational

Q:

Piecewise Functions Review 1. How does the graph of f(x) = Ixl 6. Find the vertex of the graph of compare with the graph of f(x) = 0.25 |x - 31. Tell whether the g(x) = -2|x/? Select all that apply....

Q:

If f x is a linear function f 2 1 and f 1 3 find an equation for f x

Q:

Please assist. Clear formatting please so am able to easily understand. Thank you. Problem 1.6 The propagator of a particle is defined as K(x, X';1 - to) = (xe-i(-1)H/x') and corresponds to the...

Q:

COMPLETE ANSWERS WITH COMPLETE EXPLANATION 2 - 1 Letr(x)=x4+4x32xZ12x+9, x=1fx2+2x_3 and x=_2_x + , 9(3 '1) x +2x3 Part A: Use complete sentences to compare the domain and range of the polynomial...

Q:

1. [-/3 Points] DETAILS LARCALC9 3.2.005. Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts. f( x ) = x2 - 2x - 15 ( x, y ) = ( (smaller...

Q:

2.14 More on expected value Because the expected value concept plays an important role in many economic theories, it may be useful to summarise a few more properties of this statistical measure....

Q:

Income statements for Yarrick Company for the years ending December 31, 2010,2009, and 2008 are shown below. Prepare a common-size income statement and analyze the profitability of thecompany....

Q:

1. An increase in the marginal propensity to import will _____ the multiplier for investment spending. 2. An increase in exports will lead to a(n) _____ in GDP. 3. Use the income-expenditure graph to...

Q:

Suppose a factor model is appropriate to describe the returns on a stock. The current expected return on the stock is 11.2 percent. Information about those factors is presented in the following...

Q:

The cafeteria manager: How many hot meals of a particular type should be prepared prior to the arrival of customers?? Lp852

Q:

Write down a linear regression model that summarizes this relationship? Ophthalmology Retinitis pigmentosa (RP) is a hereditary ocular disease in which patches of pigment appear on the retina,...

Q:

Fit the regression line using the method of least squares, and assess whether there is a significant change in visual field over time for this subject. Report a two-sided p-value? Ophthalmology...

Q:

Is there evidence of non linearity for age or for height? There was some previous literature that the effect of age and height on FEV might not be linear. Hence, we ran the regression model in Table...

Q:

Meghan would like to accumulate $115,000 for his retirement in 11 years. If he is promised a rate of 4.59% compounded semi-annually by his local bank, how much should he invest today

Q:

Goods Co has 120,000 common shares outstanding. it has Net Income of $6,000,000 and dividends of $2,000,000. What are the earnings per share (EPS)? What are the dividends per share?

Q:

appears below: Required: Calculate the company's activity variarices for July. veriance ) . Input all emounts es positive values, \ table [ [ Fight Cale ] , [ Activity Variances ] , [ For the Month...