Operations on Functions
Quiz by Imee Borinaga
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Measures 1 skill fromGrade 11General MathematicsPhilippines Curriculum: SHS Core Subjects (MELC)
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- Q1
f(x) = x2+2x
g(x) = 2x - 3
Find (f-g)(x)
x2+4x-3
2x3+2x-3
x2+3
-x3-3
60sM11GM-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
60sM11GM-Ia-3 - Q3
Given the function f(x) = x2 − 5, determine the value of f(f(−1)).
11
16
-8
-4
60sM11GM-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
60sM11GM-Ia-3 - Q5
f(x) = x2+2x g(x) = 2x - 3
Find (g-f)(x):
x2+12x
x2+4x-3
2x2-6x
-x2-3
60sM11GM-Ia-3 - Q6
f(x) = 2x3+4x2+2x+1 g(x) = x3-x2+7x+9
Find (f+g)(1)
25
0
12
1
60sM11GM-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
60sM11GM-Ia-3 - Q8
f(x) = (2x3+2x+1) g(x) = (x2+x)
Find (fg)(1
1
3
10
7
60sM11GM-Ia-3 - Q9
f( x) = 3 x + 2 and g( x) = 2 x + 5. Find f ∘ g(5).
35
12
47
23
60sM11GM-Ia-3 - Q10
f( x) = 3 x + 2 and g( x) = 2 x + 5. Find g[ f(5)].
33
39
24
35
60sM11GM-Ia-3