Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
can you please explain the answer by solving this question again?
![Check-
2x
•5lm (14(@²2-1)
itezx
15km
1- (@2xL
·1)
14e22
5km
=.5 (2x)
=x.
2
02%
1+6²
tex
1+e2x
5. Consider the function f(x) = 5ln(1). Determine the domain and
range of f. Find the inverse function to f and obtain its slope.
f(x) = ₁5 lm (1+x) -₁5 ln (1-x)
Df (-1<x<1)
Note
Rę (-∞,00)
1+2x²x+1
102x
4
fl= 15
1+2
Since of is monstone increasing over Of)
an inverse.
functur exists.
het g(x) be the inverse fin
-5m/1+g
i-g.
In
ملا
2
6
1-g
It
dg
dz
Т-д
argument to In must be > 0
727-1
1+2
1-2
20 =) x < 1
=
= 20
=220
2x
=e
.5
+
1-x
22
i+g=e-ge
2x
22.
g (1 + ²) = ²²²1
g=0²21
2x
ite²
2e²* (1+²x) -2ex (2²²-₁)
2x
(1+6²2) 2
2x
(ite²x
220 ²² (1+0²² ²² +1) = 4e²zx
de
(1+6²x)2
(teen) 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba7d748a-252c-474b-931e-93acb5db0c03%2F71ddbcc9-e9bd-4747-9e08-63f15a02eff0%2Ff8mtmqk_processed.png&w=3840&q=75)
Transcribed Image Text:Check-
2x
•5lm (14(@²2-1)
itezx
15km
1- (@2xL
·1)
14e22
5km
=.5 (2x)
=x.
2
02%
1+6²
tex
1+e2x
5. Consider the function f(x) = 5ln(1). Determine the domain and
range of f. Find the inverse function to f and obtain its slope.
f(x) = ₁5 lm (1+x) -₁5 ln (1-x)
Df (-1<x<1)
Note
Rę (-∞,00)
1+2x²x+1
102x
4
fl= 15
1+2
Since of is monstone increasing over Of)
an inverse.
functur exists.
het g(x) be the inverse fin
-5m/1+g
i-g.
In
ملا
2
6
1-g
It
dg
dz
Т-д
argument to In must be > 0
727-1
1+2
1-2
20 =) x < 1
=
= 20
=220
2x
=e
.5
+
1-x
22
i+g=e-ge
2x
22.
g (1 + ²) = ²²²1
g=0²21
2x
ite²
2e²* (1+²x) -2ex (2²²-₁)
2x
(1+6²2) 2
2x
(ite²x
220 ²² (1+0²² ²² +1) = 4e²zx
de
(1+6²x)2
(teen) 2
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