SOLUTION: Find the domain t(x)=(-3x+4x)÷(sqrt6x-6)

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Question 1146815: Find the domain t(x)=(-3x+4x)÷(sqrt6x-6)

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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domain t(x)=(-3x+4x)÷(sqrt6x-6)
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If you intend some other function t, then express it with the grouping symbols in the correct places.

No restrictions on the numerator.

The denominator has the requirement or or , since the denominator must not be zero.
Domain for t(x) in interval notation, (1, infinity).




*********this part was wrong************************************
The denominator has the requirement or or .
The domain for t(x) is , using interval notation, [1, infinity).

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Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The answer x >= 1 by @josgarithmetic is INCORRECT.



The correct answer is  x > 1.



At x = 1, the denominator of the function is 0 (zero, ZERO), so x=1 DOES NOT belong to the domain of the function.


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