Domain: set of all numbers that can be inputted into a function
Since you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So..
<span>x−4≥0
</span>x−4+4≥0+<span>4
</span>x≥<span>4
</span>So this says: "Any number greater than or equal to 4 will result in x-4 being either 0 or some positive number"
So this means that the domain is
<span>{x|x≥4}
</span>This basically says: "the domain is the set of all numbers x such that x is greater than or equal to 4"
In interval notation, the domain is <span>[4,∞)
</span>The range is the set of all possible outputs. We can find the most extreme point of the range by plugging in the most extreme value for the domain
<span>
sqrt(x-4) = </span>sqrt(4-4) = <span>sqrt(0) = 0
</span>So the smallest possible output is y=0, which means that the range is
<span>{y|y≥0<span>}
</span></span>
This basically says: "the range is the set of all numbers y such that y is greater than or equal to 0"
In interval notation, the range is
<span>[0,∞)</span>
Answer:
The inverse is ±sqrt((x+4)/9)
Step-by-step explanation:
y = 9x^2 – 4
We want to find the inverse
Exchange x and y
x = 9y^2 -4
Solve for y
Add 4 to each side
x+4 = 9y^2 -4+4
x+4 = 9y^2
Divide each side by 9
(x+4)/9 = 9/9y^2
(x+4)/9 = y^2
Take the square root of each side
±sqrt((x+4)/9) = sqrt(y^2)
±sqrt((x+4)/9) = y
The inverse is ±sqrt((x+4)/9)
Answer:
area= 449.2984 cm^2 if I understand correctly that the volume is 648 cm^3
Step-by-step explanation:
side length=the cube root of 648
side length=8.6535 cm
area=8.6536x8.6535x6=449.2984 cm^2
A is the awnser,because it is asking for the area of the square figure not the triangular figure in the middle.
