Find the requested composition of functions.Given f(x) = |18 - x| and g(x) = 3x + 2, find (f ? g)(x).

A. 3|18 - x| + 2
B. |16 + 3x|
C. |16 - 3x|
D. |20 - 3x|


Answer: C

Mathematics

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Replace the Cartesian equation with an equivalent polar equation.x2 + 4y2 = 4

A. r2(cos2? + 4 sin2?) = 4 B. r2(4 cos2? + sin2?) = 4 C. 4 cos2? + sin2? = 4r D. cos2? + 4 sin2? = 4r

Mathematics

Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible. Contains (0, 0); perpendicular to the line x - 2y = 3

A. y = - x
B. y = - 2x - 
C. y = x
D. y = - 2x

Mathematics

For the given function expressed verbally, give a graphical representation. Bob buys a car that gets 9 miles per gallon of gasoline. Give a representation to compute the number of miles, y , that Bob can travel with x gallons of gasoline. Let 0?x?10.

A.
 
B.

C.

D.

Mathematics

Determine which point is a solution for the system of inequalities.

a. (0,0) b. (0,1) c. (3,0) d. (0,3) e. (0,-3)

Mathematics