Question

how do I substitute f(x)= x/(x+1) in f(f(x))?

Answer 1

replace every "x" with "x/(x+1)"

Answer 2

f(f(x)) = [x/(x+1)]/(x/(x+1) + 1)

Answer 3

Can you explain what to do with the f?

Answer 4

nothing, just leave f(f(x)) alone and work on the right side

Answer 5

sorry, i'm still a little confused. there is only one x, but you have x/(x+1)/x/(x+1)?

Answer 6

there are two x's

Answer 7

f(x) = x/(x+1)

there is one x in the numerator, one x in the denominator

Answer 8

f(f(x)) means replace every "x" with f(x), which is also equal to x/(x+1), so we replace every "x" in f(x) with "x/(x+1))

Answer 9

it might make a bit more sense if I try drawing it out

Answer 10

does that make more sense?

Answer 11

oh it does. thank you so much!