SOLUTION: Given f(x)=2x+1/3x-2. Find the value(s) of k for which f(2k-4) is undefined. Thanks for your help.

Question 945869: Given f(x)=2x+1/3x-2. Find the value(s) of k for which f(2k-4) is undefined. Thanks for your help.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
assume the equation has the following form:
if this form is incorrect, the answer will be incorrect:
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f(x) = 2x + 1/(3x) - 2
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f(2k-4) = 2(2k-4) + 1/(3(2k-4)) - 2
f(2k-4) = 4k - 8 + 1/(6k-12) - 2
f(2k-4) = 4k + 1/(6k-12) - 10
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f(2k-4) is undefined when 1/(6k-12) is undefined:
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1/(6k-12) is undefined when (6k-12)=0
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6k - 12 = 0
6k = 12
k = 12/6
k = 2
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