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Apply Newton’s Method to approximate the x-value of the point(s) of intersection of f(x) = 2x + 1 and g(x) = √(x + 4), continuing the process until two successive approximations differ by less than 0.001

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Apply Newton’s Method to approximate the x-value of the point(s) of intersection of

f(x) = 2x + 1 and g(x) = √(x + 4), continuing the process until two successive approximations differ by less than 0.001

Answers:

1. None of these

2. Intersection at .563

3. Intersection at .534

4. Intersection at .548

5. Intersection at .538

6. Intersection at .569

7. Intersection at .544

I have tried this problem multiple times and never get anywhere close to any of the answers. I understand Newtons method well, so I must be calculating the derivative of the equation wrong, or starting with an initial guess that is far off. Having to approximate at the intersection is confusing me on the process.

 
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