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Is `g={(1,1),(2,3),(3,5,),(4,7)}`a function? If this is described by the formula, `g(x)=alphax+beta,`then what values should be assigned to `alphaa n dbeta?` |
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Answer» We have `={(1,1),(2,3),(3,5),(4,7),}` Since, every element has unique image under g. So g is a function. Now,`g(x)=alpha x+beta` When x =1 then, `g(1)=alpha(1) +beta " " ....(i)` `rArr 1=alpha+beta` When x=2, then, `g(2)=alpha(2)+beta` `rArr 3=2alpha+beta" " ....(ii)` On solving Eqs. (i) and (ii), we get `alpha=2,beta=-1` |
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