Inverse of Functions

May 9th, 2015
Studypool Tutor
Collin County Community College District
Price: $5 USD

Tutor description

This is compact study of how to deal with questions related to Inverses of Functions.

Word Count: 378
Showing Page: 1/4
INVERSE FUNCTIONSConditions for being a function and having inversesFor being a function an equation has to pass the vertical test, i.e. every value of x in that expression should have a unique y.For example:So, whatever value we put in x, there is a unique f(x)/y. If x=2, we will get f(2)= 5 and thus for x=2, we wont be getting another value.Therefore, f(x) is a function.But when,So, whatever value we put in x, there are 2 possible values of f(x)/y. If x=4, we will get. So, we can say that, there is no unique f(x)/y. Therefore, is not a function.Now, in order for the function to have an inverse( being a one-to-one function), the function should pass the horizontal test, i.e. every value of x should have an unique y, which no other value of x cannot have.For example:When x=3, we get y=10 and we wont be getting y=10 for any other values of x. So, f(x) has an inverse or is a one-to-one function.But when, When x=3, we get y=9 and also when x=-3, we get y=9. So, 2 values of x have the same y. Thus, f(x) does not have an inverse or is a one-to-one function.Another way of finding if a function is one-to-one or not is by the following:Leads to For example,

Review from student

Studypool Student
" Top quality work from this guy! I'll be back! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1829 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors