Question

What is the range of 3/x2-4

Answer 1

@zzr0ck3r

Answer 2

\(f(x) = \dfrac{3}{x^2}-4\)

?

Answer 3

\[\mathrm{Range\:of\:}\frac{3}{x^2}-4:\quad \begin{bmatrix}\mathrm{Solution:}\: & \:f\left(x\right)>-4\: \\\:\mathrm{Interval\:Notation:} & \:\left(-4,\:\infty \:\right)\end{bmatrix}\]

Answer 4

I think it's
\[\mathbb{R}-\left\{ -4 \right\}\]
When f(x)=-4,
we have
\[\frac{3}{x^2}-4=-4\]
\[\implies \frac{3}{x^2}=0\]\[\implies 3=0\]
which is not true
I'm not sure though