What is f\circ f\circ f\circ f\circ f(0) equal to?
For the following two (02) items: Consider the function f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}.
- A. 0 ✓
- B. 1
- C. 5
- D. 10
Correct Answer: A. 0
Explanation
First, evaluate the function at x=0: f(0) = \frac{10^0 - 10^0}{10^0 + 10^0} = \frac{1-1}{1+1} = 0. Since f(0) = 0, any subsequent composition f(f(\dots f(0)\dots)) will continually output 0.
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