This preview shows pages 1–2. Sign up to view the full content.
Michelle Ma
MATH 139, Fall, 2008
Review problems on functions.
WeBWorK assignment ass1 due 09/25/2010 at 11:55pm EDT.
1.
(1 pt) Let
f
(
x
) =

3
+
2
x
3
+
x
,
x
6
=

3
.
f

1
(
y
) =
Note: The expected answer is a function and the variable you
use in your answer must be
y
.
For which value of
y
is
f

1
(
y
)
not deﬁned?
2.
(1 pt) The only solution of the equation
ln
(
x
)+
ln
(
x

10
) =
1
is
x
=
.
Note that you can include the symbol
e
in your answer as well
as any function that WeBWorK understands.
Hint: How can you get rid of those logs?
Food for thought: Why is this the only solution? If you seem to
have more than one solution, which of them makes sense in the
original equation?
More generally, if
f
(
x
) =
ln
(
x
)+
ln
(
x

10
)
,
x
>
10
,
then
f

1
(
y
) =
Remember to use
y
as the variable in the function.
3.
(1 pt) The equation sin
(
x
) =

1
√
2
has
solutions in
the range 0
<
x
<
40.
The smallest of these solutions is
x
=
and the largest is
x
=
.
Note that the argument of a trig functions is measured in ra
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/11/2011 for the course MATH MATH 140 taught by Professor Drury during the Fall '10 term at McGill.
 Fall '10
 Drury

Click to edit the document details