Consider that f(x)=k+6x,ifx≤−2andf(x)=kx+9,ifx≥−2 and find the value of k.

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Consider that  f(x)=k+6x,ifx≤−2andf(x)=kx+9,ifx≥−2  and find the value of k.

krolaniaN · Accepted Answer

limx→−2−f(x)=limx→−2−k+6x =k+6(−2) =k−12 limx→−2+f(x)=limx→−2+kx+9 =k(−2)+9 =−2k+9 For the function to be continuous: limx→−2−f(x)=limx→−2+f(x) Thus, k−12=−2k+9 3k=21 k=7

Consider that f(x)=k+6x,ifx≤−2andf(x)=kx+9,ifx≥−2 and find the value of k.

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