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Darya [45]
3 years ago
8

The functions r and s are defined as follows. R(x)=x-1. And. S(x)=-x squared. Find the value of r(s(-2))

Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

-5

Step-by-step explanation:

"r(s(-2))" is a composition of functions. To evaluate this, we need to plug in "-2" into the function S(x) and then take that value and further plug it into R(x).

First, s(-2):

S(x)=-x^2\\S(-2)=-(-2)^2\\S(-2)=-4

Now, we take the value (-4) and put it into R(x) to get our final answer:

R(x)=x-1\\R(-4)=-4-1\\R(-4)=-5

Hence, r(s(-2)) = -5

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Answer:

The required co-ordinate is (-2, -5).

Step-by-step explanation:

For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be: $ R_{y = k} = (x, 2k - y) $.

Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:

$ R_{y = 1} (-2, 7) = (-2, 2(1) - 7) $

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Answer:

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Step-by-step explanation:

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Answer: What is the question?

Step-by-step explanation:

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Step-by-step explanation:

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