Select the correct answer. Consider these equations: f(x)=+3 g(x)=+2 Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use this graph as a starting point.

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

Hope this helps!

-13/16

Step-by-step explanation:

f(x)=x^3+3

g(x)=x^2+2

We know the solution is around -1

x^3+3 = x^2 +2

Subtract x^2+2 from each side

x^3 -x^2 -1 = f(x)

We need to find the derivative

3x^2 -2x = f'(x)

Newtons method of successive approximation states

xn+1 = xn -f(xn) / f'(xn)

Function

x3−x2+1

Derivative

x⋅(3⋅x−2)

x

-0.75488

Iterations

StepxF(x)|x(i) - x(i-1)|

x1-0.8      -0.1520000.152000

x2-0.75682-0.0062590.006259

x3-0.75488-0.0000120.000012

The approximate answer is -0.75488

The closest answer given is -13/16

bull

step-by-step explanation: