Question

if g={(1,1) (2,3) (3,5)( (4,7)} is a function from A={1,2,3,4} to B={1,3,5,7} is by the formula g(x)=ax+b then find A and B​

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