Question

Let $f:R\to R,g\left(x\right)=f\left(x\right)+3x-1$, then the least value of function $y=g\left(|x|\right)$ is

• A. $-\frac{9}{4}$
• B. $-\frac{5}{4}$
• C. $-2$
• D. $-1$

Answer 1

The correct option is C $-2$

$g\left(x\right)=x^2+x-2$
$g|x|=x^2+x-2$
For $x=0$ and $x=-1$ we get the least value of $g\left(|x|\right)$
$=-2$