Question

@Compassionate
May you help me with this problem?
@Whitemonsterbunny17 @phi
@campbell_st

Answer 1

z o z
means z "composed" with z

I would test each choice.

for choice A, start with
z = x/4

now replace x with (x/4) in
z = x/4

can you do that ?

Answer 2

yes

Answer 3

@phi so I'm replacing with 1/16?

Answer 4

this one is confusing with x and z being re-used.

but what we do is start with
z= x/4

then in the "second z"
z= x/4, we replace x with x/4 to get
\[ z= \frac{ \frac{x}{4}}{4} \]
which looks peculiar. But multiply top and bottom by ¼
\[ z= \frac{ \frac{x}{4}\cdot \frac{1}{4}}{4\cdot \frac{1}{4}} = \frac{\frac{x}{16}}{1}= \frac{x}{16}\]

Answer 5

I should write that as
z o z = x/16

so choice A "worked"
and must be the answer.

Answer 6

I thought it was D. 16/x ? "No, it's not because we were using option A..., correct?"

Answer 7

if you start with z= 16/x and figure out what z o z is
you won't get z o z = x/16
so the answer is not D