Question

Find the domain:
y= 3x-5/x2-4

Answer 1

When you're asked to find the domain of a rational function (one that looks like a fraction)
It's ALL REAL NUMBERS...

\[\huge \color{red}{except}\]

those that would make the denominator zero.

In this scenario, your denominator is
\[\large x^2 -4\]

For what values of x is \(\large x^2 -4\) equal to zero?

Answer 2

2

Answer 3

is the answer all real numbers except two???

Answer 4

that is a quadratic (x^2-4)...........
when you solve for x after equating it to zero you get +2 and -2 as the two possible values of x.....
you could try solving that using factorisation or the quadratic formula.

Answer 5

i still don't understand!, xD uhm,., i'm a beginner could you explain in much more simple???

Answer 6

Okay, how do you go about solving this...
\[\Large x^2 - 4 = 0\]

Answer 7

uhm, x^2= 4

Answer 8

then square root both sides x =2

Answer 9

Yeah, so x could either be 2... or...?

Answer 10

this is the graph
when x= -2 y is undefined so...when writing domain you will say x does not = -2 ...