Specifying domain help? I'm Super confused!

Question

anonymous · Answer

attachment

javk · Answer

ok so starting with fractions, what is an undefined fraction, when does it occur?

javk · Answer

when the denominator is zero then the fraction is said to be undefined.

javk · Answer

in this case your denominator is a quadratic equation, right?
when this is equal to zero
i.e. ([x ^{2}-5x+25=0\) the domain of the function just can't have a value...ever
so lets solve the quadratic equation to figure out at what value of x will this occur

javk · Answer

Are you following or did I get you lost?

anonymous · Answer

@Javk sort of, is this  function undefined then?

javk · Answer

we have to check that,
now tell me does the quadratic equation ever intersect with the x axis? If it does at what point does this happen?

anonymous · Answer

It does not intersect with the x axis @Javk

javk · Answer

correct, so the denominator can never be zero, true?

anonymous · Answer

True @Javk

javk · Answer

so that means your fraction doesn't have a point at which you can say "oh wait, that can't be true.." 
so that means it should go to infinity

imtiaz7 · Answer

|dw:1428103926950:dw|