Ask Experts Questions for FREE Help !
Ask
    BlackPen's Avatar
    BlackPen Posts: 1, Reputation: 1
    New Member
     
    #1

    Nov 14, 2017, 06:10 PM
    Deriving Function Problem
    Suppose that g is a real valued, differentiable function whose derivative g' satisfies the inequality |g'(x)|less than or equal to M for all x in R.
    Show that if epsilon is greater than 0 is small enough, then the real valued function f defined by f(x)=x+epsilon*g(x) is one to one and onto.
    Recall that a function f is said to be "one to one" if x sub 1 does not equal x sub 2 implies that f(x sub 1) does not equal f(x sub 2), and f is said to be "onto" if for every real number y, there is a real number x such that f(x) = y.
    smoothy's Avatar
    smoothy Posts: 25,492, Reputation: 2853
    Uber Member
     
    #2

    Nov 14, 2017, 06:54 PM
    Homework rules REQUIRE you to show your work and what you have for an answer, you failed to cut and paste that part of your homework assignment,

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Linear function modeling problem. [ 1 Answers ]

Gross domestic box office is the amount of money made by movies in the theaters in the United States. In the year 1998, the total gross domestic box office was 6.9 billion. In 2008 the total gross domestic box office was 9.6 billion. a; find the linear function in this relationship. b; use the...

Need help with a function problem? [ 1 Answers ]

f(x)={x^2 if x<0 f(x)={x+1 if x≥0 Find f(-2), f(-1), f(0), f(1), f(2)

Word problem with quadratic function? [ 1 Answers ]

f(x) = x^2 - 12x 36 find a value of x such that f(x)= 9

Sales of computer function problem [ 3 Answers ]

The sales of a new model of notebook computer are approximated by: s(x) = 5000-13000e^-x/9 , where x represents the number of months the computer has been on the market and S represents sales in thousands of dollars. In how many months will the sales reach $2,600,000?


View more questions Search