288 Words2 Pages

SQQM2034 CALCULUS II
SEMESTER 1 2015/2016 SESSION (A151
)
GROUP ASSIGNMENT 1
Instruction:
Complete this assignment in a group of 4
–
5 members. Write the names of group members at the beginning of your assignment. Answer all questions in this assignment on foolscap papers. Solutions should be clearly shown.
1.
Based on the function 푓
(
푥
)
=
푥
2
−
2
푥
,
푥
≤
1
, answer the following questions:
a.
Find the inverse function
푓
−
1
(
푥
)
.
(3 marks) b.
Sketch functions
푓
(
푥
) and 푓
−
1
(
푥
)
on the same axes.
(4 marks)
c.
Identify the domain of
푓
−
1
(
푥
)
.
(1 mark)
c.
Identify the range of
푓
(
푥
) and 푓
−
1
(
푥
)
.
(2
mark s )
2.
Let
푓
(
푥
)
=
푥
2
−
4
푥
−
5
,
푥
>
2
. Find the value of
푑
푑푥
[
푓
−
1
(
푥
)
] at the point

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