Which is longer: 30 yards or 30 meters?
1 answer:
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Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.
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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.
The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.
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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.
Equation of a line is .
A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.
Given that,
Endpoints of the line segment are () = (4, 1) and (
) = (2, -5).
First find the midpoints of the given line segment.
M =
=
M =
Now, Find the slope of the line :
It is perpendicular to the line with (4,1) and (2,-5)
Slope between () and (
) =
so,
the slope between (4,1) and (2,-5) =
= 3
perpendicular lines have slopes the multiply to get -1
3 times m=-1
m=
The equation of a line that has a slope of m and passes through the midpoints M(3,-2) is
if we want slope intercept form
If we want standard form
Hence, Equation of a line is .
To learn more about perpendicular bisector of the line segment from the given link:
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