Question

The function f(x) = g(x), where f(x) = 2x – 3 and g(x) = x2 - 5.
The table below shows the process of solving using successive approximations.
1
0
-3 -5
1
-1
-4
21-1
5
2.
2
1.25
Continue this process to find the positive solution to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

The positive solution is 2.4.

Step-by-step explanation:

The given functions are

It is given that

The quadratic formula:

Answer 2

The two approximate values of x to the nearest tenth will be x=4 and 5

What is Approximation?

Is defined as the quality or state of being close or near an approximation to the truth an approximation of justice

Now two given functions are as follows:

$f(x) = 2x -3$  and  $g(x) = x^2 - 5.$

At x=4 the value of f(x) anf g(x)

$f(x)=4\times 2-3=5\ \ \ \ \ \ \ and \ \ \ \ g(x)=4^2-5=9$

At x=5 the value of f(x) anf g(x)

$f(x)=5\times 2-3=7\ \ \ \ \ \ \ and \ \ \ \ g(x)=5^2-5=20$

Hence the two approximate values of x to the nearest tenth will be x=4 and 5

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