Question

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

Answer 1

Answer:

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-------(1)

g(2)=34

⇒2α+β=3------(2)

On solving (1) and (2), we get,

α=2, β=−1

∴ g(x)=2x-1

Step-by-step explanation:

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