Question

If g = {(1,1),(2,3),(3,5),(4,7)} is a function given by g(x) = αx + β then the values of α and β are

Answer 1

The value of α and β is (2, -1).

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