Q. 44

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

Answer :

Given:-


(i)g={(1, 1), (2, 3), (3, 5), (4, 7)}


(ii)g(x) = αx + β


For x=1 and αx + β


g(1)=α(1)+ β=1


α+ β=1


For x=2


g(2)=α(2)- β=3


2α- β=3


Similarly with g(3) and g(4)


Using above value


α=2


β=1


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