Question

What is the domain of the function y = 2 StartRoot x minus 5 EndRoot?

Answer 1

Answer:

Domain: $x\geq5\ or\ [5,\infty)$

Step-by-step explanation:

Given:

The function is given as:

$y=2\sqrt{x-5}$

A function is just like a machine that gives an output for a given input.

The input to a function is called the domain of a given function. The output of a function is called its range.

The variable that is used to represent the domain is 'x' and the range is represented by the variable 'y'.

So, the domain is the independent variable and range depends on the values of the domain.

Now, the given function is a square root function. From the definition of square root function, we know that, the terms inside the root must be 0 or greater than 0. Therefore,

$x-5\geq 0$

Now, solving for 'x', we add 5 on both sides. This gives,

$x-5+5\geq 0+5\\\\x\geq 5$

Therefore, the values of 'x' must be greater than or equal to 5.

Hence, the domain of the function are all values of 'x' which are either 5 or greater than 5.

Domain: $x\geq5\ or\ [5,\infty)$

Answer 2

Answer:it’s C my guy

Step-by-step explanation: