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Anika [276]
3 years ago
5

2 Points

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0
B:Figure B has. greater Voulume.
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50 fewer than number y
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y - 50

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What is the inverse of y=pi/2+sin x​
Alekssandra [29.7K]

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

The given function is

y=\frac{\pi}{2}+\sin x

To find the inverse of this function, we interchange x and y.

x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

Take the sine inverse of both sides to obtain;

\sin ^{-1}(x-\frac{\pi}{2})=y

Hence the inverse of the given function is;

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

where \frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1

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