If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
Answer
A
5(4 + 4) – 6
B
5(5(4) – 6) – 6
C
54 – 6 + 54 – 6
D
5(4) – 6 + 5(4) – 6
Explanation
Adding functions means (k + k)(4) = k(4) + k(4). Since k(x) = 5x − 6, this is 5(4) − 6 + 5(4) − 6, which is choice D. Each value of k(4) is 14, so the sum is 28.
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