If a function g =

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