9514 1404 393
Answer:
- [-4, -1)
- [-1, 1)
- [1, 5]
Step-by-step explanation:
The numbers that describe the domain of the piece are the x-value at the left end and the x-value at the right end of each piece.
Piece 1 is defined between x=-4 and x=-1, so the interval is [-4, -1).
Piece 2 is defined between x=-1 and x=1, so the interval is [-1, 1).
Piece 3 is defined between x=1 and x=5, so the interval is [1, 5].
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<em>Additional comment</em>
The rounded bracket at the right end of the domain interval means the point is not included. The square bracket means the point is included. In general, you only want each x-value to have one corresponding f(x) definition, so it is usually not appropriate to include it as part of two different pieces of the piecewise function. [-4, -1) means -4 ≤ x < -1.
Domain is the independent/x/what goes in
Range is the dependent/y/what comes out
Answer would be C
Answer: -20/21
Step-by-step explanation:
Using the Pythagorean identity, we can get that the sine of angle theta is .
But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.
Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21
4(x+2) = 14 - 2(3-4x)
4x + 8 = 14 - 6 + 8x
4x + 8 = 8 + 8x
8 - 8 = 8x - 4x
0 = 4x
x = Ф
Have a nice days.............
Hi,
So we have g(x) = 4√(x). We're looking for g(45). Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.
Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).
-Hope this helps!