Question

If $g\left(x\right)=x^2$, then If $g\left(a\right)=12$, then find $g\left(2a\right)$.

• A. $48$
• B. $24$
• C. $96$
• D. $192$

Answer 1

The correct option is A $48$

$g\left(x\right)=x^2;g\left(a\right)=12$

$g\left(a\right)=\sqrt{12}\times \sqrt{12}$

so, $a=\sqrt{12}$

$g\left(2a\right)=g\left(2\sqrt{12}\right)$

$=(2\sqrt{12}{)}^2$

$g\left(2a\right)=48$