Answer: f(2-k) = 5k - 2
Explanation:
To solve for f(2-k), we will substitute 2 - k into x in the given function.
Then we will simplify.
Given:
f(x) = 8 - 5x
Substitute:
f(2-k) = 8 - 5(2-k)
Distribute:
f(2-k) = 8 - 10 + 5k
Combine like terms:
f(2-k) = -2 + 5k
Reorder terms:
f(2-k) = 5k - 2