**Answer is Yes, **

**values should be α = 2 , β = −1**

**Explanation:** Given that, g = {(1,1),(2,3),(3,5),(4,7)}

Here,each element of domain has unique image. So,g is a function .

Now given that, g(x) = αx+β

g(1) = 1

⇒ α+β = 1

g(2) = 3

⇒ 2α+β = 3

Solving (i) and (ii), we get

α = 2, β = -1

∴ g(x) = 2x - 1

above function satisfies (3,5) and (4,7)