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Finite Math Examples
Popular Problems Finite Math Find the Domain and Range y= square root of x-5
y
=
√
x
−
5
Solve to find the values of
x
that make
√
x
−
5
defined.
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x
≥
5
The domain is all values of
x
that make the expression defined.
[
5
,
∞
)
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
and extends to infinity.
[
0
,
∞
)
{
y
|
y
≥
0
}
Determine the domain and range.
Domain:
[
5
,
∞
)
,
{
x
|
x
≥
5
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
Answer:
x - 3 ≥ 0
Step-by-step explanation:
The given function is f(x) = 
Here we need to find the inequality that is used to find the domain of the function.
We should not have negative number inside the square root because if negative number comes inside the square root, then it is not a function.
Therefore, (x - 3) must be greater than or equal to 0
That is x - 3 ≥ 0
We use the above inequality to find the domain of the function.
When we solve the above inequality, we get the domain of the function.
x - 3≥0
add 3 on both sides, we get
x - 3 + 3 ≥ 0 + 3
x ≥ 3
Domain is the set of all real numbers greater than or equal 3.
Therefore, the answer to the question is x - 3 ≥ 0
Answer:
5 cm
Step-by-step explanation:
The length of the drawing will be 450 / 90 = 5 cm.
It’s between two and three which might turn out to be a decimal