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If f(x)= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ 1 2x 3x(x−...

If f(x)= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ 1 2x 3x(x−1) ​ x x(x−1) x(x−1)(x−2) ​ x+1 (x+1)x (x+1)x(x−1) ​ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ Then f(100) is equal to

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The correct Answer is:
1
Since, domain of `f_(1)(x) and f_(2)(x) " are " D_(1) and D_(2)`.
Thus, domain of `[f_(1)(x)+f_(2)(x)]" is " D_(1) cap D_(2).`
Hence, given statement is true.
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