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Quick Review

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.
Given f(x) = 2x and
g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
2.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find g(f(x)).
a)
g(f(x))= -6x2+31
b)
g(f(x))= -6x2+24
c)
g(f(x))=18x2-84x+90
d)
g(f(x))=9x2-42x-41
3.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
4.

Find the inverse function

a)
b)
c)
d)
5.

Find the inverse function

a)
b)
c)
d)
6.

Find the inverse function

a)
b)
c)
d)
7.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
8.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
9.
Which graph corresponds to 
(x-8)2+ (y+2)2=
a)
A
b)
B
c)
C
d)
D
10.

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?

a)

4

b)

8

c)

4√2

d)

2√2