Perform the operation. Write the answer as a fraction in lowest terms.
+ 
A.
B.
C.
D.
Answer: D
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Solve the problem.Shown is the image of a figure under the two successive translations that take P to P' and then P' to P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First find the final image of a point if it were translated by both translations. Then what happens in the reverse process?
A.
B.
C.
D.
Find the exact value of the trigonometric expression without the use of a calculator.If sin ? = , 0 < ? <
and cos ? =
, 0 < ? <
, find the exact value of tan (? + ?).
A.
B. -
C. -
D.
If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."f(x) =
A. f-1(x) =
B. Not one-to-one
C. f-1(x) = (x + 3)2
D. f-1(x) = x2 - 3, x ? 0
Find the composition. If f(x) = 4x2 + 4x + 8 and g(x) = 4x - 4, find g[f(x)]
A. 4x2 + 16x + 28 B. 4x2 + 4x + 4 C. 16x2 + 16x + 36 D. 16x2 + 16x + 28