Asked by david
Find the constant a such that the function is continuous on the entire real line
g(x)=x^2-a^2/x-a if x doesn't equal a
6 if x=a
g(x)=x^2-a^2/x-a if x doesn't equal a
6 if x=a
Answers
Answered by
Damon
6 = a^2 -a - a
a^2 - 2 a - 6 = 0
a = [ 2 +/- sqrt (4+24) ]/2
= 1 +/- sqrt 7
try both to make sure which works
perhaps you left out a parenthesis or two though
6 = (x^2 -a^2)/(x-a) = x+a
then if x = a
6 = 2a
a = 3
a^2 - 2 a - 6 = 0
a = [ 2 +/- sqrt (4+24) ]/2
= 1 +/- sqrt 7
try both to make sure which works
perhaps you left out a parenthesis or two though
6 = (x^2 -a^2)/(x-a) = x+a
then if x = a
6 = 2a
a = 3
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