The domain for which functions $f(x) = 2x^2-1$ and $g(x)=1-3x$ are equal, is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\{-2, 1/2\}$
We have,
$f(x) = g(x)$
$⇒ 2x^2-1=1-3x$
$⇒2x^2+3x-2=0⇒ (2x-1) (x+2)=0⇒ x=-2,1/2$
Hence, $f(x) = g(x)$ for all $x = \{-2, 1/2\}$