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Operation on functions warm-up

Total questions: 16

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

If f(x) = x−1f\left(x\right)\ =\ x-1 and g(x)=5x−2g\left(x\right)=5x-2 , then  (f⋅g)(x)=\left(f\cdot g\right)\left(x\right)=

a)

5x−35x-3  

b)

5x2+25x^2+2  

c)

5x2−7x+25x^2-7x+2  

d)

5x−75x-7  

2.

If f(x) = 3x2−4f\left(x\right)\ =\ 3x^2-4 and g(x)=x2−8x+4g\left(x\right)=x^2-8x+4 , then  (f−g)(x)=\left(f-g\right)\left(x\right)=

a)

2x2−8x−82x^2-8x-8  

b)

2x2+8x−82x^2+8x-8  

c)

2x2−8x2x^2-8x  

d)

2x2+8x2x^2+8x  

3.

If f(x) = x+5f\left(x\right)\ =\ x+5 and g(x)=3x−7g\left(x\right)=3x-7 , then  (f∘g)(x)=\left(f\circ g\right)\left(x\right)=

a)

3x−23x-2

b)

3x+83x+8  

c)

3x2+8x−353x^2+8x-35  

d)

3x−123x-12  

4.

If f(x) = x+5f\left(x\right)\ =\ x+5 and g(x)=3x−7g\left(x\right)=3x-7 , then  (g∘f)(x)=\left(g\circ f\right)\left(x\right)=

a)

3x−23x-2

b)

3x+83x+8  

c)

3x2+8x−353x^2+8x-35  

d)

3x−123x-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 mn(2) \ \ \ \ find\ \frac{\text{m}}{\text{n}}\left(2\right)\  

if  𝑚(𝑥) = 3𝑥 − 5 ;  n(x)=x2−2x+1n\left(x\right)=x^2-2x+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
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
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
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)