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Operation of Functions Worksheet

Operation of Functions Worksheet
  • Page 1
 1.  
Find the next term of the geometric sequence: 1 2 , 1 3 , 2 9 , 4 27 ,.....
a.
2 3
b.
8 18
c.
8 81
d.
4 28


Answer: (c)


Correct answer : (3)
 2.  
Find the area of a sector with a diameter of 8 m and a central angle of 90°.
a.
16π m2
b.
8π m2
c.
4π m2
d.
12π m2


Solution:

Area of a sector = central angle360 × πr2

= 90360 × π (4 m)2
[Substitute the values.]

Area of the sector = 4π m2
[Simplify.]


Correct answer : (3)
 3.  
Find the area of a sector with a radius of 6 in. and a central angle of 160°.
a.
6π in.2
b.
16π in.2
c.
6π5 in.2
d.
19π in.2


Solution:

Area of a sector = central angle360 × πr2

= 160360 × π(6 in.)2
[Substitute the values.]

Area of the sector = 16π in.2
[Simplify.]


Correct answer : (2)
 4.  
Find the area of a sector with a radius of 3 ft and a central angle of 45°.
a.
7π5 ft3
b.
9π8 ft2
c.
25π6 ft2
d.
5π8 ft2


Solution:

Area of a sector = central angle360 × πr2

= 45360 × π(3 ft)2
[Substitute the values.]

Area of the sector = 9π8 ft2
[Simplify.]


Correct answer : (2)
 5.  
Find the area of a sector with radius of 5 cm and a central angle of 40°.
a.
8π cm2
b.
25π9 cm2
c.
5π cm2
d.
7π2 cm2


Solution:

Area of a sector = central angle360 × πr2

= 40360 × π(5 cm)2
[Substitute the values.]

Area of the sector = 25π9 cm2
[Simplify.]


Correct answer : (2)
 6.  
Find the area of a sector with radius of 4 cm and a central angle of 60°.
a.
6π5 cm2
b.
4π cm2
c.
8π3 cm2
d.
3π8 cm2


Solution:

Area of a sector = central angle360 × πr2

= 60360 × π(4 cm)2
[Substitute the values.]

Area of the sector = 8π3 cm2
[Simplify.]


Correct answer : (3)
 7.  
Find (f + g)(1), if f(x) = - 2x and g(x) = (x - 1).
a.
- 2
b.
2
c.
1


Answer: (a)


Correct answer : (1)
 8.  
Evaluate the function (fg)(- 2) when f(x) = (x + 1) and g(x) = x2.
a.
- 1
b.
1
c.
4


Answer: (c)


Correct answer : (3)
 9.  
Find (fg)(- 1) when f(x) = x1+3x and g(x) = 1 - 2x.
a.
5
b.
6
c.
3 2
d.
1 2


Answer: (c)


Correct answer : (3)
 10.  
Find the value of (f - g)(1) when f(x) = 2x+5x+1 and g(x) = x - 1.
a.
2 7
b.
1
c.
7 2
d.
2


Answer: (c)


Correct answer : (3)

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