Question

Functions

Answer 1

\(\large \color{black}{\begin{align} & \normalsize \text{if}\ f(x)=\dfrac{1}{g(x)}\ \text{then which of the following is correct} \hspace{.33em}\\~\\
&a.)\ f(f(g(f(x)))) =f(g(g(f(f(x)))))\hspace{.33em}\\~\\
&b.)\ f(g(g(f(f(x)))))=f(f(g(g(g(x))))) \hspace{.33em}\\~\\
&c.)\ g(g(f(f(g(f(x))))))=f(f(g(g(f(g(x)))))) \hspace{.33em}\\~\\
&d.)\ f(g(g(g(f(x)))))= g(g(f(f(f(x)))))\hspace{.33em}\\~\\
\end{align}}\)

Answer 2

lol really

Answer 3

my mind blasted out while typing the options.

Answer 4

i want to say C

Answer 5

yea option c.) is right

Answer 6

how did u figured so fast.

Answer 7

okay lets see why the same number of gs and fs makes it equal

Answer 8

lol just thought itd be nice if the only one with same gs and fs on both sides was the right one

Answer 9

same number* of

Answer 10

lol , funny judgment instinct

Answer 11

solomon's reaction after seeing this question.

Answer 12

can we work out somethign simpler

Answer 13

f(g(x)) = g(f(x))?

Answer 14

is that true or what is the relationship between these 2

Answer 15

You can pick for simplicity F(x)=x, g(x)=1/x..
I know it's not professional solution but th question who started being silly :P

Answer 16

i was thinking we could assume some values for this function

Answer 17

ya that one 1/x ,x.

Answer 18

oaky to clean it up a little the x is making it very annoying