hello, i need some help with this problem please!!:

Given

y= 1/x-3

a)find the domain

b)find the range

thanks

(Wondering)

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- May 3rd 2008, 07:41 PMsubzero06Domain And Range
hello, i need some help with this problem please!!:

Given

y= 1/x-3

a)find the domain

b)find the range

thanks

(Wondering) - May 3rd 2008, 08:32 PMReckoner
Do you mean $\displaystyle y = \frac{1}{x} - 3$ (as it's written) or $\displaystyle y = \frac{1}{x - 3}$?

In either case, the domain is the set of values of $\displaystyle x$ for which the function is defined. Notice that you have a variable in the denominator of your function. Since division by zero is undefined, what does that tell you about the values that $\displaystyle x$ can take on?

The range will be all of the possible values of $\displaystyle y$. For $\displaystyle y = \frac{1}{x} - 3$, note that $\displaystyle \frac{1}{x}$ can never be zero; what does that tell you about the possible values of $\displaystyle y$? - May 3rd 2008, 09:20 PMsubzero06
- May 3rd 2008, 09:22 PMmr fantastic
- May 3rd 2008, 09:31 PMReckoner