WorksheetsOperation on functions warm-up
Total questions: 16
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
If f(x) = x−1 and g(x)=5x−2 , then (f⋅g)(x)=
a)
5x−3
b)
5x2+2
c)
5x2−7x+2
d)
5x−7
2.
If f(x) = 3x2−4 and g(x)=x2−8x+4 , then (f−g)(x)=
a)
2x2−8x−8
b)
2x2+8x−8
c)
2x2−8x
d)
2x2+8x
3.
If f(x) = x+5 and g(x)=3x−7 , then (f∘g)(x)=
a)
3x−2
b)
3x+8
c)
3x2+8x−35
d)
3x−12
4.
If f(x) = x+5 and g(x)=3x−7 , then (g∘f)(x)=
a)
3x−2
b)
3x+8
c)
3x2+8x−35
d)
3x−12
5.
Find g(x) = -3x + 10, given g(-2) .
a)
6
b)
16
c)
26
d)
36
6.
𝑔(𝑥) = 2𝑥 − 4 and ℎ(𝑥) = 2𝑥 − 7 Find (𝑔 + ℎ)(3).
a)
-7
b)
1
c)
-1
d)
8
7.
find nm(2)
if 𝑚(𝑥) = 3𝑥 − 5 ; n(x)=x2−2x+1
a)
1
b)
-1
c)
2
d)
-2
8.
Let f(x) = 4x2 -33x -27. Is k = 9 a zero of the function?
a)
yes
b)
no
9.
(2x3 + 5x2 + 9) ÷ (x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
10.
(3x3 + 5x - 1) ÷ (x + 1)
a)
3x3 - 3x2 + 8x - 9
b)
3x2 - 3x + 8 - 9/x+1
c)
3x2 + 3x + 8 + 7/x+1
d)
3x3 + 3x2 + 8x + 7
11.
a)
4x - 2
b)
4x + 2
c)
4x - 2 + (1/3x - 1)
d)
4x + 2 + (1/3x - 1)
12.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
13.
Factor:
x2 - 10x + 24
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
14.
Find the factors of x2-81
a)
(x-9)(x+9)
b)
(x+9)(x+9)
c)
(x-9)(x-9)
d)
Can't be factored
15.
Factor:
3x2-17x+10
3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
16.
Factor:
4x2-16x-9
4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
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