Functions 1 Question 14

15. If $f _1(x)$ and $f _2(x)$ are defined on domains $D _1$ and $D _2$ respectively, then $f _1(x)+f _2(x)$ is defined on $D _1 \cap D _2$.

(1988, 1M)

Analytical & Descriptive Questions

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Answer:

Correct Answer: 15. True

Solution:

  1. Since, domains of $f _1(x)$ and $f _2(x)$ are $D _1$ and $D _2$.

Thus, domain of $\left[f _1(x)+f _2(x)\right]$ is $D _1 \cap D _2$.

Hence, given statement is true.



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