Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

so you can input ALL real numbers to this function

Answer 7

we say the Domain is All real numbers

Answer 8

if that makes any sense..

Answer 9

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