If a function `g={(1,1),(2,3),(3,5),(4,7)}`is described by `g(x)=alpha – InterviewSolution

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1.	If a function `g={(1,1),(2,3),(3,5),(4,7)}`is described by `g(x)=alphax+beta,`find the values of `alphaa n dbetadot`A. 2x-1B. 2x+1C. x+2D. x-2
Answer» Correct Answer - A Let f(x)=ax+b We have `f(1)=1,f(2)=3,f(3)=5 and f(4)=7` We have `Rightarrow a+b=1, 2a+b=3, 3a+b=5 and 4a+b=7` `Rightarrow a=2 and b=-1` `"Hence", f(x)=2x-1`

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