Evaluating the Composition of Two Functions
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the function F(x) = x + 3 at x = 2?
4
5
7
6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the composition G(F(x)), if F(x) = sqrt(x) + 4, what is the expression for G(F(x))?
(sqrt(x) + 4)^2 - 1 / 3
(sqrt(x) + 4)^2 - 1
sqrt(x) + 4
x^2 + 4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of G(x) if G(x) = (x + 3) / 3?
x / 3
x + 3
x / 3 + 1
x + 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find G(5) if G(x) = (x^2 - 1) / 3?
Plug 5 into x in G(x)
Multiply 5 by G(x)
Subtract 5 from G(x)
Add 5 to G(x)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of G(5) when G(x) = (x^2 - 1) / 3?
11
10
9
8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of F(G(5)) if F(x) = sqrt(x) + 4 and G(5) = 8?
2 * sqrt(3)
sqrt(12)
4 * sqrt(2)
sqrt(8) + 4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method can be used to evaluate F(G(5))?
Algebraic manipulation
Graphical method
Direct substitution
Numerical approximation
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