In problems 43 − 54 , the function f is one-to-one. ( a ) Find its inverse function f − 1 and check your answer. ( b ) Find the domain and range of f and f − 1 . ( c ) Graph f , f − 1 , and y = x on the same coordinate axes. f ( x ) = x 3 2 + 5
In problems 43 − 54 , the function f is one-to-one. ( a ) Find its inverse function f − 1 and check your answer. ( b ) Find the domain and range of f and f − 1 . ( c ) Graph f , f − 1 , and y = x on the same coordinate axes. f ( x ) = x 3 2 + 5
Solution Summary: The author explains how to determine the inverse function f-1 and check the answer.
In problems
43
−
54
,
the function
f
is one-to-one.
(
a
)
Find its inverse function
f
−
1
and check your answer.
(
b
)
Find the domain and range of
f
and
f
−
1
.
(
c
)
Graph
f
,
f
−
1
,
and
y
=
x
on the same coordinate axes.
12. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.508.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x + 16
dx
X
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13. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.512.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dx
8)(2x + 1)
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14. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
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DETAILS
MY NOTES
SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
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7. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.019.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x²+1
(x-6)(x-5)²
dx
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8. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.3.021.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
✓
x²
4
+4
dx
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MY NOTES
SESSCALCET2 6.3.017.
1. [-/1 Points]
Evaluate the integral.
- - dy
y(y + 2)(y-3)
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2. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.3.027.
Evaluate the integral. (Use C for the constant of integration.)
X + 16
x²+10x29
dx
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