applying the continuity test

chileroo

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Sep 11, 2011
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I am having trouble figuring out how to complete this problem. I am trying to find the point(s) at which the function is continuous.

y = ∜3x-1

(y = 4th root of 3x - 1)

So far this is what I have:

3x - 1 < 0

3x < 1

x < 1/3, so the function is continuous at x ≥ 1/3. Is this correct, or am I completely missing the idea? Thanks!
 
I am having trouble figuring out how to complete this problem. I am trying to find the point(s) at which the function is continuous.

y = ∜(3x-1)

(y = 4th root of 3x - 1)

So far this is what I have:

3x - 1 < 0

3x < 1

x < 1/3, so the function is continuous at x ≥ 1/3. Is this correct, or am I completely missing the idea? Thanks!

You need to use grouping symbols. Otherwise your function translates to:

y = ∜3 * x - 1

Then of course the domain changes.
 
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