How do you find the inverse of #y= -x# and is it a function?
See below.
For the inverse of a function we have to express
Multiply by Substitute: The function is its own inverse. Since the inverse of a function is the reflection of the function in the line
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To find the inverse of (y = -x), follow these steps:
- Replace (y) with (x) and (x) with (y).
- Solve the resulting equation for (y).
- The solution obtained represents the inverse function.
Starting with (y = -x):
- Swap (x) and (y): (x = -y)
- Solve for (y): (y = -x)
Therefore, the inverse of (y = -x) is (y = -x).
Yes, (y = -x) is a function because each input value (x-coordinate) corresponds to exactly one output value (y-coordinate), satisfying the definition of a function.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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