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Sagot :
[tex]f(x) = 4x + k \\ \\ f(2) = f(1) \\ \\ now\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ solution : \: \: \: \: \: \: \: \: \: \\ \\ f(x) = 4x + 1 \\ \\ f(2) = 4(2) + k \\ \\ f(2) = 8 + k. \\ \\ f(1) = 4(1) + k \\ \\ f(1) = 4 + k \\ \\ 8+ k = 4 + k \\ \\ k - k = 4 -8 \\ \\ 0 = - 4[/tex]
The function has no solution.
f(x) = 4x + k
f(2) = f(1)
Therefore,
Function f(2):
f(2) = 4(2) + k
f(2) = 8 + k
Function f(1):
f(1) = 4(1) + k
f(1) = 4 + k
Recall f(2) = f(1),
Therefore,
8 + k = 4 + k
8 - 4 = k - k
4 = 0
There is no solution.
learn more on functions here: https://brainly.com/question/1511318?referrer=searchResults
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