Linear function maybe?
Given the is a linear function such that this function is true for all real .
If , find the value of .
The answer is 345.
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1 solution
Linear function can be written in the form f ( x ) = m x + c
f ( 2 0 1 6 ) − f ( 2 0 0 4 ) = m ( 2 0 1 6 ) + c − ( m ( 2 0 0 4 ) + c )
f ( 2 0 1 6 ) − f ( 2 0 0 4 ) = 1 2 m
1 2 m = 5
m = 1 2 5
Now we move on to another expression
f ( 2 0 1 2 ) − f ( 1 1 8 4 ) = m ( 2 0 1 2 ) + c − ( m ( 1 1 8 4 ) + c )
f ( 2 0 1 2 ) − f ( 1 1 8 4 ) = 8 2 8 m
f ( 2 0 1 2 ) − f ( 1 1 8 4 ) = 8 2 8 ( 1 2 5 )
f ( 2 0 1 2 ) − f ( 1 1 8 4 ) = 3 4 5