Act Math Practice
Intermediate Algebra Answer 1
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Intermediate Algebra Answer 1:
1. Table of values for the functions f
1
(
x
) and f
2
(
x
) are given below. What is the value of f
2
(f
1
(1))?
x
f
1
(
x
)
x
f
2
(
x
)
---------
---------
---------
---------
1
4
1
1
2
5
2
4
3
6
3
9
4
7
4
16
A. 1
B. 4
C. 7
D. 9
E. 16
The correct answer is E.
First, solve for the function in the inner-most set of parenthesis, which in this problem is
f
1
(1).
According to the table of values at the left above, for
x
= 1,
f
1
(1) = 4
Then, take this new value to solve for
f
2
(
x
)
According to the table of values at the right above, for
x
= 4,
f
2
(4) = 16
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