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Answer:
A) If the domain of y=cos(x) is restricted to [0, π], y=cos^-1(x) is a function.
Step-by-step explanation:
In order for the inverse function to be a function, the original must pass the horizontal line test: a horizontal line must intersect the function in only one place.
As you can see from the attached graph, restricting the cosine function to the domain [0, π] allows it to pass the horizontal line test, so its inverse will be a function.
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Restricting the domain to [-π/2, π/2] does not limit cos(x) to something that will pass the horizontal line test.
Answer:
Quotient is <u>x²</u><u> </u><u>-</u><u> </u><u>x</u><u> </u><u>-</u><u> </u><u>2</u>
<u>Remainder</u><u> </u><u>is</u><u> </u><u>0</u>
