For the given functions f and g, find the requested function and state its domain.f(x) = 
; g(x) = 
Find f ? g.
A. (f ? g)(x) = 
; {x|x ? 12}
B. (f ? g)(x) = 
; {x|x ? 3, x ? 4}
C. (f ? g)(x) = 
; {x|x ? 0}
D. (f ? g)(x) = 
; {x|3 ? x ? 4}
Answer: D
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 4) and (0, -4); asymptotes y = 
x and y = - 
x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Find the area of the region specified in polar coordinates.The region enclosed by the curve r = 3 sin 2?
A. 
?
B. 
?
C. 
?
D. 
?
Solve the system of equations. x + y + z = -4 x - y + 5z = 245x + y + z = -24
A. {(-5, -4, 5)} B. {(-4, -5, 5)} C. {(5, -5, -4)} D. {(5, -4, -5)}
Find all zeros of the function and write the polynomial as a product of linear factors.f(x) = x3 + 4x2 + 8x + 8
A. f(x) = (x + 2)(x + 1 + i
)(x - 1 - i
)
B. f(x) = (x - 2)(x + 3 + 1i)(x + 3 - 1i)
C. f(x) = (x - 2)(x + 3 + 1i)(x - 3 - 1i)
D. f(x) = (x + 2)(x + 1 + i
)(x + 1 - i
)