Problem Sheet #10 (4.1-4.3)
Classlb:
Math 1090
-
o\4r’S
Name:
001 Spring 2013
Hmk. 10 Score
Instructor: Katrina Johnson
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work
1. Find the inverse of each function.
a) f(x) (x
— 1): + 2
=
—
‘;S
(-\)
c-2
b) g(x)
‘S
42
=(-)
= x-2
x+3
-
(4’l:
-%
\(=
‘43
x()=
—2
‘)(54( Lj-2
2. 2
12x÷15.
Givenh(x)=2x
+
i) How must you restrict the domain of h so that it does have an inverse
2
4(
,ç
\-
,
-y
)
2(cc’+
)
‘
ii) Find the inverse.
ç
0
2
2(xt)
—3
#3
)c4-3
(t)
2
?01%4
2
3. Identify the base function and describe the transformations. Then sketch the
transformed function, labeling at least two points and the horizontal or vertical asymptote.
5
a) f(x) =2— e’
Base function is y
Transformation(s):
—
0
c*i
2
S
—
b) g(x)
=
1 x)
Iog
(
5
—
—
-3
3
Base function is y:
Transformation(s):
c-\€ckior
j
2
1