Length of Xianren Bridge is 400 feet.
l represents the length of other natural arches.
Since, Xianren Bridge is the longest arch, we have,
l < 400
Let's graph this inequality.
Take the other natural arches along x-axis and the lengths along y-axis.
Clearly, the graph of l = 400 is a straight line parallel to x-axis.
So, l < 400 is the region below the line l = 400.
Answer:
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
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Explanation:
We'll start with the parent function
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.