Question

if f(x)=2x/x-2 and g(x)= x^-2 then f(g(x)) will not define for which of the following values of x ? Why?
A)4
B)-2
C)0
D)-√2
E)√2

more than one answers may be correct...
answer please

Answer 1

for
$f(x) = \frac{2x}{x - 2} \\\implies \: x - 2 \not = 0 \\ \implies \: x \not = 2$
for
$g(x) = {x}^{ - 2} = \frac{1}{ {x}^{2} } \\ \implies \: {x}^{2} \not = 0 \\ \implies \: x \not = 0$