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If f(x) =x/1-x^2, what is f(f(2))?
Most Upvoted Answer
If f(x) =x/1-x^2, what is f(f(2))?
Solution:

Given, f(x) = x/1-x^2

To find f(f(2)), we need to substitute x = 2 in f(x) and then substitute f(2) in the result obtained.

Substituting x = 2 in f(x),
f(2) = 2/1-2^2
f(2) = 2/-3
f(2) = -2/3

Substituting f(2) in f(x),
f(f(2)) = f(-2/3)
f(f(2)) = -2/3 / 1 - (-2/3)^2
f(f(2)) = -2/3 / 1 - 4/9
f(f(2)) = -2/3 / 5/9
f(f(2)) = -2/3 * 9/5
f(f(2)) = -6/15
f(f(2)) = -2/5

Therefore, f(f(2)) = -2/5.
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If f(x) =x/1-x^2, what is f(f(2))?
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