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Operations With Functions

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
2.
Given g(x) = -2x+2 and f(x) = 3x2+4, find (g+f)(-3).
a)
39
b)
-27
c)
-23
d)
-19
3.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
4.

(f - g)(x)

a)

5x2 + 3x

b)

-3x2 - 13x

c)

3x2 + 3x

d)

-3x2 + 3x

5.
f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)
a)
16x2 + 8x - 3
b)
16x2 - 8x + 3
c)
16x2 - 8x - 3
d)
16x2 - 16x - 3
6.
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
a)
5n+1
b)
-5n+1
c)
-2n+1
d)
-6n-1
7.
f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)
a)
6x + 15
b)
6x - 15
c)
-6x + 15
d)
6x - 8
8.

 h(x)=−8x+7h(x)=-8x+7   c(x)=2x−8c(x)=2x-8  
Find h(x) - c(x)

a)

 −10x+15-10x+15  

b)

 −6x−1-6x-1  

c)

 −6x+1-6x+1  

d)

 −10x−1-10x-1  

9.

Fill in the blank:
 (f⋅g)(−2)=\left(f\cdot g\right)\left(-2\right)=  



(a)  

10.

Evaluate:
 (fg)(2)=\left(\frac{f}{g}\right)\left(2\right)=  



(a)