Q977: Assertion (A): Let $f(x) = e^{x}$ and $g(x) = \log x$. Then ... | Class CBSE Class 12

Class CBSE Class 12 Mathematics Relations and Functions Q #977

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1 Marks 2025 AISSCE(Board Exam) ASSERTION REASON

Assertion: Assertion (A): Let $f(x) = e^{x}$ and $g(x) = \log x$. Then $(f + g)x = e^{x} + \log x$ where domain of $(f + g)$ is $\mathbb{R}$.

Reason: Reason (R): $\text{Dom}(f + g) = \text{Dom}(f) \cap \text{Dom}(g)$.

(A) Both A and R are true and R is the correct explanation of A.

(B) Both A and R are true but R is NOT the correct explanation of A.

(C) A is true but R is false.

(D) A is false but R is true.

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Correct Answer: D

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