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Science
:
Math Exam Resources/Courses/MATH220/December 2010/Question 01 (a)/Solution 1
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From UBC Wiki
<
Science:Math Exam Resources
|
Courses/MATH220
|
December 2010
|
Question 01 (a)
By definition, we have
f
−
1
(
D
)
=
{
x
∈
A
:
f
(
x
)
∈
D
}
{\displaystyle \displaystyle f^{-1}(D)=\{x\in A:f(x)\in D\}}
and
f
(
C
)
=
{
y
∈
B
:
∃
x
∈
C
such that
f
(
x
)
=
y
}
{\displaystyle \displaystyle f(C)=\{y\in B:\exists x\in C{\text{ such that }}f(x)=y\}}