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kvv77 [185]
3 years ago
11

It took Mr. Phillips 1.6 hours to run the 13.2 miles. What was his average speed?

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0
13.2 miles/ 1.6 hours= 8.25 miles/hour.

Mr. Phillips's speed was 8.25 miles/hour~
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To find the inverse function, solve for y:

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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.

___

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.

__

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.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

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