TRIG
Practice Problems for Test
f
 x  ,  f  g x the domain of each, the range of each
g
 
Find  f  g x ,  f  g x ,  fg x , 
4

7
and  f 
1. f x   5x  4
g  x   2x 2
3. Solve
2. f x   5x  4
g x  
with the difference quotient.
x
2
4
4. Write the equation of the line, in standard form, that passes through
5. Solve by completing the square
6. Classify the following functions as even, odd or neither
a.
b.
c.
d.
7. Two helicopters are flying towards other. Their paths form a right angle at point P. The first
helicopter is going 68 mph and is 15 miles from P. The second helicopter is going 75 mph and is 11
miles from P. Find the following:
a. an equation to find the distance d between the helicopters
b. the time, to the nearest quarter second, when the helicopters are closest together
c. the distance, to three decimal places, between the helicopters after 30 seconds