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VashaNatasha [74]
3 years ago
5

Piecewise Defined Function, take a look at the picture below.

Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

  f(1) = -1

Step-by-step explanation:

The first step is to identify the applicable "piece" of the piecewise function. For x=1, it is the middle piece.

The second step is to put the argument value where x is and do the arithmetic.

  f(1) = -1² = -(1)(1)

  f(1) = -1

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Vesnalui [34]

Answer:

x = ⅓ acos(y/7) + π/18, [-7, 7/2]

Step-by-step explanation:

y = 7 cos(3x − π/6)

Solving for x:

y/7 = cos(3x − π/6)

acos(y/7) = 3x − π/6

acos(y/7) + π/6 = 3x

x = ⅓ acos(y/7) + π/18

The domain of x is the same as the range of y.

When x = π/6:

y = 7 cos(3π/6 − π/6)

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y = 7 cos(21π/18 − π/6)

y = 7 cos(π)

y = -7

So the domain of x as a function of y is [-7, 7/2].

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4 years ago
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Answer:

Step-by-step explanation:

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