Function Notation & Composite Functions Flashcard

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•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is function notation?
Back
Function notation is a way to represent functions in mathematics, typically using symbols like f(x), g(x), etc., where 'f' or 'g' denotes the function and 'x' is the input variable.
2.
FLASHCARD QUESTION
Front
What is a composite function?
Back
A composite function is formed when one function is applied to the result of another function, denoted as (f∘g)(x) = f(g(x)).
3.
FLASHCARD QUESTION
Front
How do you find (g∘h)(x) if g(x)=3x+4 and h(x)=3x-1?
Back
To find (g∘h)(x), substitute h(x) into g: g(h(x)) = g(3x-1) = 3(3x-1) + 4 = 9x - 3 + 4 = 9x + 1.
4.
FLASHCARD QUESTION
Front
Evaluate g(25) if g(x)=6x-19.
Back
g(25) = 6(25) - 19 = 150 - 19 = 131.
5.
FLASHCARD QUESTION
Front
Evaluate f(12) if f(x)=\frac{3}{2}x+5.
Back
f(12) = \frac{3}{2}(12) + 5 = 18 + 5 = 23.
6.
FLASHCARD QUESTION
Front
If f(x) = -4x - 5 and g(x) = 3 - x, what is g(-4) + f(1)?
Back
g(-4) = 3 - (-4) = 7; f(1) = -4(1) - 5 = -9; g(-4) + f(1) = 7 - 9 = -2.
7.
FLASHCARD QUESTION
Front
Evaluate g(-12) if g(x) = \frac{3}{4}x + 10.
Back
g(-12) = \frac{3}{4}(-12) + 10 = -9 + 10 = 1.
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