If f(x) = 2x² + 1 and g(x) = x-1, find f + g, fg, and their domains.

What will be an ideal response?


Mathematics

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Graph the curve described by the function, indicating the positive orientation.r(t) = 2cos t i + 3j + 2 sin t k, for 0 ? t ? 2?

A.


B.


C.


D.

Mathematics

Determine the equation of the given line, as well as the slope of the line. If the slope is undefined, state this.

A. x = -4, m: undefined B. y = x - 4, m = 0 C. y = -4, m: undefined D. y = x - 8, m = 1

Mathematics

Solve the problem involving consecutive integers.In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 81 and the U.S. won more than China who won more than Romania, how many medals did each team win?

A. U.S.: 83 medals; China: 82 medals; Romania: 81 medals B. U.S.: 28 medals; China: 27 medals; Romania: 26 medals C. U.S.: 29 medals; China: 28 medals; Romania: 27 medals D. U.S.: 26 medals; China: 25 medals; Romania: 24 medals

Mathematics

Solve the equation

a.
b.
c.
d.

Mathematics