Newtons method to approximate the x value of the intersection of f(x) = 3x + 1 and g(x) + square root of x + 4

Use Newtons method to approximate the x value of the intersection of f(x) = 3x+1 and g(x) + square root of x+4

[darova]

What have you done?

[James Tursa]

Hint: Find the root of f(x) - g(x), i.e. the root of 3*x+1-sqrt(x+4). You might try plotting this first to get an idea of where the root(s) are.