Answer :

To solve the given problem, we will use the function defined by the rule: [tex]y = \sqrt{x} - 4[/tex].

The input given is [tex]x = 1625296014064[/tex].

Let's solve the problem step-by-step:

  1. Calculate the Square Root:

    First, calculate the square root of the input value:

    [

y = \sqrt{1625296014064} - 4
]

  1. Simplify the Expression:

    Using a calculator, find [tex]\sqrt{1625296014064}[/tex]. This involves computing:

    [

y = 1274483.015625
]

Then apply the rule by subtracting 4:

[tex]y = 1274483.015625 - 4 = 1274479.015625[/tex]

  1. Result:

    The output is approximately:

    [

y \approx 1274479.016
]

This value represents the output of the function when the input is 1625296014064.