Answer:
Find the Domain and Range
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈R
}
Range:
(
6
,
∞
)
,
{
y
|
y
>
6
}
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
Answer
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula

As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.
Answer:
$|-7000|
Step-by-step explanation:
divide 84000 by 12 = 7000
It's going to be C. 15... You can easily figure this out by using the equation 35 - 20 = x