Question

Assertion :$f\left(x\right)=\frac{x^2-4}{x-2}$ and $g\left(x\right)=x-2$ are equal Reason: Two functions $f$ and $g$ are stand to be equal if their domains, ranges are equal and $f\left(x\right)=g\left(x\right)\forall x$ domain.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Domain of $f\left(x\right)\Rightarrow x\ne 2$ domain of $g\left(x\right)=x\in (-\infty ,\infty )$

$x\in (-\infty ,\infty )\sim \left\{2\right\}$