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OPERATIONS ON FUNCTIONS

Total questions: 16

Worksheet time: 4hrs 0mins

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+g\right)\left(x\right)= 

a)

 5x2+15x^2+1  

b)

 5x2−35x^2-3  

c)

 6x+16x+1  

d)

 6x−36x-3  

2.

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-g\right)\left(x\right)= 

a)

-4x - 3

b)

-4x +1

c)

6x + 1

d)

6x - 3

3.

If  f(x) = x−1f\left(x\right)\ =\ x-1 and g(x)=5x−2g\left(x\right)=5x-2 , then  (fg)(x)\left(\frac{f}{g}\right)\left(x\right) 

a)

 x−15x−2\frac{x-1}{5x-2}  

b)

 5x−2x−1\frac{5x-2}{x-1}  

c)

 −13\frac{-1}{3}  

d)

 −3-3  

4.

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  

5.

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\cdot g\right)\left(x\right)= 

a)

 3x4−24x3+8x2+32x−163x^4-24x^3+8x^2+32x-16  

b)

 3x4−8x−163x^4-8x-16  

c)

 3x4−24x3+8x2−32x−163x^4-24x^3+8x^2-32x-16  

d)

 3x4−24x3+16x2+32x−163x^4-24x^3+16x^2+32x-16  

6.

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  (fg)(x)=\left(\frac{f}{g}\right)\left(x\right)= 

a)

 3x2−4x2−8x+4\frac{3x^2-4}{x^2-8x+4}  

b)

 x2−8x+43x2−4\frac{x^2-8x+4}{3x^2-4}  

c)

 3x2−1x2−8x\frac{3x^2-1}{x^2-8x}  

d)

 1−4x\frac{1}{-4x}  

7.
Find f(2) if f(x)= 3x-9
a)
0
b)
2
c)
3
d)
-3
8.
Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1
a)
2
b)
5
c)
9
d)
14
9.

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

(a)  

10.

Find (f−g)(2)(f-g)(2) if  f(x)=4x+10f(x)=4x+10   and  g(x)=3x−7g(x)=3x-7  

(a)  

11.
a)

A

b)

B

c)

C

d)

D

12.
a)

A

b)

B

c)

C

d)

D

13.

Find g(5)

a)

3375

b)

375

c)

25

d)

45

14.

Find f(2).

a)

-2

b)

-18

c)

24

d)

6

15.

f(x) = 2x and g(x) = 2x-7

Find (f-g)(4).

a)

0

b)

-9

c)

7

d)

-8

16.
f(x) = 2x and g(x) = 2x-7 
Find (f+g)(2).
a)
-7
b)
1
c)
-1
d)
8