Question

Help, I'll fan and medal
Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = Four divided by x squared. + 9

Answer 1

Answers:
f(x) = x + 9, g(x) = Four divided by x squared.
f(x) = x, g(x) = Four divided by x. + 9
f(x) = One divided by x., g(x) = Four divided by x. + 9
f(x) = Four divided by x squared., g(x) = 9

Answer 2

@Vocaloid @agent0smith

Answer 3

f( g(x) ) means "replace x" with the symbols (or string) g(x)

for example , if you had
f(x) = 2 x +3
then
f (g(x)) = 2 g(x) + 3
(notice how we erased the x, and put in g(x) instead)

Answer 4

now if g(x) has a "definition", for example we are told
g(x) = x^3

then we can go back and put in the "full definition" in place of the short name g(x)

Answer 5

For example, say
f(x) = 2 x + 3
and
we do
f(g(x)) = 2 g(x) + 3

now say g(x) = x^3 +3
then we can replace g(x) in f(g(x)) = 2 g(x) + 3
to get
f(g(x)) = 2 ( x^3+3) + 3

Answer 6

I would try to do that for each of your choices and see if any match up with the pattern you want.