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Operations on Functions

Quiz by Imee Borinaga

Grade 11
General Mathematics
Philippines Curriculum: SHS Core Subjects (MELC)

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10 questions
Show answers
  • 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

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

    35

    12

    47

    23

    60s
    M11GM-Ia-3
  • Q10

    f( x) = 3 x + 2 and g( x) = 2 x + 5. Find g[ f(5)].

    33

    39

    24

    35

    60s
    M11GM-Ia-3

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