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

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

3 0

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

LUCKY_DIMON [66]3 years ago

3 0

Answer:it’s C my guy

Step-by-step explanation:

You might be interested in

Suppose the number of inches of rainfall each year in a city is normally distributed. For a random sample of years, the confiden

quester [9]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Or equivalently:

$\bar X \pm ME$

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample