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:
- 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.