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Question
Multiple choice question :
If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function given by g(x) = αx + β then the value of α and β are
Options
(– 1, 2)
(2, – 1)
(– 1, – 2)
(1, 2)
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Solution
(2, – 1)
Explanation;
g(x) = αx + β
g(1) = α(1) + β
1 = α + β ….(1)
g(2) = α(2) + β
3 = 2α + β ….(2)
Solve the two equations we get
α = 2, β = – 1
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