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Sholpan [36]
4 years ago
14

If you have a function and it’s inverse, how can you be sure that both equations represent functions?

Mathematics
1 answer:
OleMash [197]4 years ago
6 0

Answer:

When you plot the graph of either, it passes both the horizontal and vertical line tests.

Step-by-step explanation:

A function will pass the vertical line test. This is what make a relation a function. It will have an inverse function if it also passes the horizontal line test. (The inverse function is the reflection of the function across the line y=x.)

Of course, the domain of one is the range of the other, and vice versa.

_____

The vertical line test passes if no vertical line intersects the graph of the relation in more than one point. The horizontal line test is similar: no horizontal line can intersect the graph in more than one point.

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What is the maximum value of y=-x^2-x+6 ?
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Answer:

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3 years ago
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns
4vir4ik [10]

Answer:

Molly earned $856 on the first day.

Step-by-step explanation:

From the information given, you know that over 3 days Molly earned $2,568 which is:

x+y+z=2568, where:

x is the amount earned on the first day

y is the amount earned on the second day

z is the amount earned on the third day

Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.

Now you can replace x and y in the first equation and solve for y:

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