CHAPTER 1

TEST REVIEW

1. Write the equation of the lineperpendicular to the line

4x+y = 1 and runs through (2,-1)

y + 1 = ¼(x-2)

y = ¼x - 1½

Given f(x) = 6x-4 and g(x) = x2+2

2. Find f(g(-2) 3. Find g(f(x))

4. Find the inverse of f(x)

f(6) = 32

(6x-4)2 + 236x2 – 48x + 18

x = 6y – 4

x+4y-1 = 6

5. Find the center and radius: x2 + y2 + 2x - 14y = 71

x2 + 2x + 1 + y2 – 14y + 49=71 + 1+ 49 (x+1)2 + (y-7)2 = 71 + 1 + 49

(x+1)2 + (y-7)2 = 121

C(-1,7) r = 11

6. Describe the changes y = -(6x)2 + 8

Reflects across x axisHorizontal shrink by 5

Moves up 8

7. Solve algebraically:

823

2

x

⅔x-2<8 and ⅔x-2-8⅔x<10 and ⅔x-6 x<15 and x-9

8. a. Convert 40º to radians. b. Convert to degrees

9

a.2π 9

b. 20º

9. Find f-1(x) and SHOW that f(f-1(x)) = x and f-1(f(x)) = x if

f(x )= 5

6

x

x