  Operations on Functions

Quiz by Imee Borinaga

General Mathematics
Philippines Curriculum: SHS Core Subjects (MELC)

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### Measures 1 skill fromGrade 11General MathematicsPhilippines Curriculum: SHS Core Subjects (MELC)

M11GM-Ia-3

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Correct quiz answers unlock more play!  10 questions
• Q1

f(x) = x2+2x

g(x) = 2x - 3

Find (f-g)(x)

x2+4x-3

2x3+2x-3

x2+3

-x3-3

60s
M11GM-Ia-3
• Q2

Given the functions f(x) = x + 3 and g (x) = 1/x − 3 , what is the simplified form of f(g(x))?

f(g(x)) = 3x − 8/x − 3 , x ≠ 3

f(g(x)) = 1/x , x ≠ 0

f(g(x)) = 3x − 8/x + 3 , x ≠ −3

f(g(x)) = − 8/x , x ≠ 0

60s
M11GM-Ia-3
• Q3

Given the function f(x) = x2 − 5, determine the value of f(f(−1)).

11

16

-8

-4

60s
M11GM-Ia-3
• Q4

Given f(x) = 9x2+ 7x and g (x) = 2 − x, determine 5g (x) − f(x).

9x2+ 6x + 2

45x2+ 36x − 2

−9x2 − 12x + 10

45x2+ 6x − 5

60s
M11GM-Ia-3
• Q5

f(x) = x2+2x    g(x) = 2x - 3

Find (g-f)(x):

x2+12x

x2+4x-3

2x2-6x

-x2-3

60s
M11GM-Ia-3
• Q6

f(x) = 2x3+4x2+2x+1  g(x) = x3-x2+7x+9

Find (f+g)(1)

25

0

12

1

60s
M11GM-Ia-3
• Q7

f(x) = (2x3+4x2+2x+1)    g(x) = (x+1)

Find (fg)(x).

2x4+6x3-6x2+3x+1

2x4+6x3+6x2+3x+1

2x4+4x3+5x2+3x+1

2x4+5x3

60s
M11GM-Ia-3
• Q8

f(x) = (2x3+2x+1)  g(x) = (x2+x)

Find (fg)(1

1

3

10

7

60s
M11GM-Ia-3
• Q9

fx) = 3 x + 2 and gx) = 2 x + 5. Find f ∘ g(5).

35

12

47

23

60s
M11GM-Ia-3
• Q10

fx) = 3 x + 2 and gx) = 2 x + 5. Find gf(5)].

33

39

24

35

60s
M11GM-Ia-3

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