precalculus 12 grade

Question

Given the three function, which expression equals (f o c o m)(x)?

c(x)=9/x+9 f(x)-x^4 m(x)= 2IxI

answers : 9/2IxI^4+9

9/(2IxI)^4+9

2I9/x^4+9I

(9/2IxI+9)^4

Answer 1

The easy way to pick the right answer is as follows.

f(x) = x^4 is the first in the expression of the composite function (f o c o m)(x), which means that it is the “outside” or “outer” function.

Which means that the final expression will be like this

(something)^4

Only one answer (the last one) is in that form, so you need to pick that one.

Answer 2

c o m = c(m(x)) = 9/(2IxI) + 9;

f o c o m = f(c(m(x))) = (9/(2IxI) + 9)⁴.

Las t is right answer