When looking for the domain of a function, we are looking for the possible x values where the function exists. The easiest way to do that is to look for the values of x for which the function does not exist and exclude those. To put it more simply, you need to look for x's in the denominator or x's under an even root. In your question, we have 2x-3 in the denominator. We want to find the value of x that makes the denominator zero:
2x-3=0
2x=3
x=3/2
Therefore the domain of your function is all x values except x=3/2.
If you had even roots, you'd have to find the values of x that make the term under the even root negative and exclude all those x values.
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Hi,
When looking for the domain of a function, we are looking for the possible x values where the function exists. The easiest way to do that is to look for the values of x for which the function does not exist and exclude those. To put it more simply, you need to look for x's in the denominator or x's under an even root. In your question, we have 2x-3 in the denominator. We want to find the value of x that makes the denominator zero:
2x-3=0
2x=3
x=3/2
Therefore the domain of your function is all x values except x=3/2.
If you had even roots, you'd have to find the values of x that make the term under the even root negative and exclude all those x values.
Hope this helps!