Thursday
April 17, 2014

Homework Help: math

Posted by dreww1961 on Thursday, October 14, 2010 at 12:40am.

Let f:A->B, where A and B are nonempty, and let T1 and T2 be subsets of B.

a.Prove that f^-1(T1 U T2)= f^-1(T1) U f^-1(T2).
b.Prove that f^-1(T1 intersects T2) = f^-1(T1) intersects f^-1(T2). I think once I see a I can do b.
c. Prove that f^-1(T1) - f^-1(T2) = f^-1(T1-T2).
d. Prove that if T1 is a proper subset of T2, then f^-1(T1) is a proper subset of f^-1(T2).

I am confused on this one and need some help understanding inverse mapping. Thank you

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

maths - the first three terms of a geometric sequence are: t1; t2 and t3. if t2=...
Trigonometry - a 100 pound box hangs between two ropes T1 and T2 the angle at ...
physics - Two rotating wheels have masses such that m2 = 5 m1, and radii such ...
Chem help! - I need help for this question in combining gas law P1V1/T1=P2V2/T2...
Physics - I'm trying to prove Kepler's equations the proof is in my book but I ...
chem again - Use Charles Law to solve for the missing value of each of the ...
Math help quickly - Use the expressions for left and right sums and the table ...
Calculus need help badllyyy! - Use the expressions for left and right sums and ...
Physics - The position of a particle is given by the function x = ( 6 t^3 - 3 t^...
Math (Linear Systems) - 28 N + T2 sin 12 = T1 sin 42 T2 cos 12 = T1 cos 42 T2 ...

Search
Members