Answer:
y = -3/(x-4) - 2
Step-by-step explanation:
3*y(x) vertically stretches <em>y</em> by a factor 3
-y(x) reflects <em>y</em> over x-axis
y(x-4) translates <em>y</em> 4 units to the right
y(x) - 2 translates <em>y</em> 2 units down
Applied the transformations we get:
y(x) = 1/x → 3/x → -3/x → -3/(x-4) → -3/(x-4) - 2
When

, you have

.
When

, you have

.
Clearly,

.
Assume

. Now when

, you have

Therefore by induction the sequence is monotone (decreasing).
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Answer:
obtuse scalene triangle
Step-by-step explanation:
Connecting 3 points will make a triangle. The sides are different lengths, and the largest angle is more than 90°. The figure is an obtuse scalene triangle.