If g={(1,1),(2,3),(3,5),(4,7)} is a function described by the formula, g(x)=αx+β then what values should be assigned to α and β
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a
α=1,β=1
b
α=2,β=-1
c
α=1,β=-2
d
α=-2,β=-1
answer is B.
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Detailed Solution
(1,1) satisfies g(x)=αx+β∴α+β=1(2,3) satisfies g(x)=αx+β∴2α+β=3solving the above equation we get α=2,β=−1 It can be checked that other ordered pairs satisfy g(x)=2 x-1