The compositionfunction ( f ∘ g ) ( x ) and the domain of f ∘ g for the functions f ( x ) = 3 − x and g ( x ) = x 2 − 16 .

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Answer 1

Question

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

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Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x) Zero order f(x + 1) = f(x;) First order f(x; + 1) = f(x;) + f'(x;)h 1.0 Second order 0.5 True f(x + 1) = f(x) + f'(x)h + ƒ"(x;) h2 2! f(x+1) 0 x; = 0 x+1 = 1 x h f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2 51 Taylor Series Approximation H.w: Smaller step size implies smaller error Errors f(x) + f(x,) Zero order f(x,+ 1) = f(x) First order 1.0 0.5 Reduced step size Second order True f(x + 1) = f(x) + f'(x)h f(x; + 1) = f(x) + f'(x)h + "(xi) h2 f(x,+1) O x₁ = 0 x+1=1 Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5 iterations (or & s= 5%) for f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2 52

Could you explain this using the formula I attached and polar coorindates

Could you explain this using the formula I attached and polar coordinates

Answer 2

Question

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

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Answer 3

Question

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

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Answer 4

Question

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

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Answer 5

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

Answer 6

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

Answer 7

Chapter 1.2, Problem 40E

(a)

To determine

The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

Answer 8

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

Answer 9

(b)

To determine

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 1.2 - Prob. 1E Ch. 1.2 - Prob. 2E Ch. 1.2 - Prob. 3E Ch. 1.2 - Prob. 4E Ch. 1.2 - Prob. 5E Ch. 1.2 - Prob. 6E Ch. 1.2 - Prob. 7E Ch. 1.2 - Prob. 8E Ch. 1.2 - Prob. 9E Ch. 1.2 - Prob. 10E

The compositionfunction ( f ∘ g ) ( x ) and the domain of f ∘ g for the functions f ( x ) = 3 − x and g ( x ) = x 2 − 16 .

Solution Summary: The author explains the composition function fcirc g and the domain of it.

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The compositionfunction (f∘g)(x) and the domain of f∘g for the functions f(x)=3−x and g(x)=x2−16 .

The composition function (g∘f)(x) and the domain of g∘f for the functions f(x)=3−x and g(x)=x2−16 .

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