g(x)=5x+9/2x^2+93 Find domain of g
Can someone help me through the whole process? I'm getting bits and pieces so it doesn't make sense to me

Question

ganeshie8 · Answer

domain is the set of all `x values` that you can input to a function

ganeshie8 · Answer

look at the given rational function 
$$\large g(x) = \dfrac{5x+9}{2x^2+93}$$

ganeshie8 · Answer

are there any x values that make this function behave crazily ?

ganeshie8 · Answer

in other words, is there any x value that evaluates the denominator expression  to 0 ?

ganeshie8 · Answer

since x^2 is always positive,  2x^2 + 93 is always greater than 0.
the denominator never becomes 0

ganeshie8 · Answer

so you can input ALL real numbers to this function

ganeshie8 · Answer

we say the Domain is All real numbers

ganeshie8 · Answer

if that makes any sense..

anonymous · Answer

it says that i can't put all real numbers or any kind of that as an answer