Question

If g={(1,1),(2,3),(3,5),(4,7)} is a function
given by g(x)=Ax+B then the values of
A and B are​

Answer 1

Answer:

Is g = {(1, 1), (2, 3), (3, 5), (4, 7)) a function ? If g is described by g(x) = αx + β, then what value should be assigned to α and β ?

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If g={(1,1),(2,3),(3,5),(4,7)} is a function

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Is g = {(1, 1), (2, 3), (3, 5), (4, 7)) a function ? If g is described by g(x) = αx + β,

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asked Mar 20, 2018 in Class XII Maths by nikita74 (-1,017 points)

Is g = {(1, 1), (2, 3), (3, 5), (4, 7)) a function ? If g is described by g(x) = αx + β, then what value should be assigned to α and β ?

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answered Mar 20, 2018 by rahul152 (-2,838 points)

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) = 34

⇒ 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)

A and B are

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