Given the following function:
Does the function have a domain? If so, what is it?
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Given the following function:
Does the function have a domain? If so, what is it?
When we have an unknown in a fraction, we immediately know that the domain must exclude where the denominator equals 0.
Therefore, we need to check in which case the denominator can become 0.
Let's set:
(x-3)²≠0
Let's take the square root of both sides:
x-3≠0
Let's isolate x:
x≠3
And this is the solution we were looking for, X cannot be 3, because then it wouldn't satisfy the domain we found.
Yes,
Given the following function:
\( \frac{5-x}{2-x} \)
Does the function have a domain? If so, what is it?
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