Mathematics: If f (x) = startroot one-half x minus 10 endroot + 3, which inequality can be used to find the domain of f(x)?

If f (x) = startroot one-half x minus 10 endroot

Ответ:

devnnn44

15.01.2022

The domain of a function is indeed the collection of any and all possible inputs to a function. So, the calculation of the domain can be defined as follows:

Given:

$\to \bold{f(x)=\sqrt{\frac{1}{2} x-10}+3}$

To find:

Domain=?

Solution:

The domain of a function is the set of values for which the behavior is described.

$\to \bold{f(x)=\sqrt{\frac{1}{2} x-10}+3}$

There is no concept for the quadratic formula of negative territory. As a result, the value within the square root has to be greater than zero.

Hence

$\to \bold{f(x)=\sqrt{\frac{1}{2} x-10} \geq 0}$

Therefore, the correct answer is " $\bold{\sqrt{\frac{1}{2} x-10}\geq 0}$ ".

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Ответ:

mjarrelljr

15.01.2022

Mathematics

$\left(\frac{1}{2}\right) x-10+3 \geq 0$ is the inequality that can be used to find the domain of given f(x).

Step-by-step explanation:

For a square root function given by $f(x)=\sqrt{a(x)}$ , to have real values, the radicand x must be positive or equal to zero. So, domain for f(x) would be,