can anyone give a sample equation where you have to compute the domain?

Question

anonymous · Answer

Like find the domain?

anonymous · Answer

It does not have to be solved...just need an example of an equation where I would have to compute the domain

anonymous · Answer

really depends on the topic

anonymous · Answer

a function with a rational expression

anonymous · Answer

domain of $\sqrt{1-x}$ 

domain of $\frac{x^2-4}{x-2}$

domain of $\log(x)$

domain of $ \sqrt{25-x^2}$

anonymous · Answer

oh if it is a rational expression, set the denominator equal to zero and solve
you may not divide by zero, so exclude your answers

anonymous · Answer

sometimes you can do it in your head 
$$\frac{x}{x-4}$$ domain is all numbers except 4

anonymous · Answer

sometimes you have to do more, like factor or use the quadratic formula, like for example in 
$$\frac{x+5}{x^2-4x+3}$$

lgbasallote · Answer

how about $$\huge \log_ 2 \left( \frac{\sqrt{3x - 4}}{\sqrt{2x + 5}} \right )$$

anonymous · Answer

Good job @satellite73 So many good examples. "brohoof"

anonymous · Answer

and sometimes even if you have a rational expression, the domain in all real numbers like for example in 
$$\frac{x}{x^2+1}$$

lgbasallote · Answer

@satellite73 what about if you have $$\frac{x+5}{x^2 + 6x + 5}$$
would the domain restriction be -1 and -5? or just -1? hmm?

anonymous · Answer

what do you think?

lgbasallote · Answer

well i think it's -1 and -5..

anonymous · Answer

then you would be correct

lgbasallote · Answer

nice

anonymous · Answer

Thanks to all who responded to my question. All the answers were da bomb!