Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.f(x) =  , g(x) = x2

A. No, yes
B. No, no
C. Yes, yes
D. Yes, no


Answer: B

Mathematics

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Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r = 4 sin ?

A. (x - 2)2 + y2 = 4; circle, radius 2,
center at (2, 0) in rectangular
coordinates

B. (x + 2)2 + y2 = 4; circle, radius 2,
center at (-2, 0) in rectangular
coordinates

C. x2 + (y + 2)2 = 4; circle, radius 2,
center at (0, -2) in rectangular
coordinates

D. x2 + (y - 2)2 = 4; circle, radius 2,
center at (0, 2) in rectangular
coordinates

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Use a sum or difference identity to find the exact value.sin  cos  - cos  sin 

A.
B.
C. 1
D.

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An empty lot is 1,500 ft by 11,200 ft. How many feet would you save by walking diagonally across the lot instead of walking the length and width? ? __________ ft

Fill in the blank(s) with the appropriate word(s).

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A substance has a hydrogen ion concentration of . Find the pH of the substance.

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