Question

Consider the function ​f(x)equals​3(xminus​1)minus​0.4(9minus​x). Match each expression with its equivalent value.
I. ​f(2)plus​f(4)
II. ​f(5)
III.​ f(7)minus​f(6)
IV.​ f(3)
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Question content area right
Part 1
Drag each of the values given to the left into the appropriate area to the right.
I.
II.
III.
IV.

Answer 1

First simplify f(x):
f(x) = 3(x−1) − 0.4(9−x) = 3x−3 − 3.6 + 0.4x = 3.4x − 6.6 = (17/5)x − 33/5.

Now evaluate:

I. f(2) + f(4) = 36/5 = 7.2
II. f(5) = 52/5 = 10.4
III. f(7) − f(6) = 17/5 = 3.4
IV. f(3) = 18/5 = 3.6