Question

If $f\left(x\right)=x^2+x$ and $g\left(x\right)=\sqrt{x}$, then the value of $f\left(g\right(3\left)\right)$ is

• A. $1.73$
• B. $3.46$
• C. $4.73$
• D. $7.34$
• E. $12.00$

Answer 1

The correct option is C $4.73$

Given, $f\left(x\right)=x^2+x,g\left(x\right)=\sqrt{x}$

Then we need to find the value of $f\left(g\right(3\left)\right)$

$\Rightarrow g\left(3\right)=\sqrt{3}$ ..... given $g\left(x\right)=\sqrt{x}$
$\Rightarrow f\left(g\right(3\left)\right)=f\left(\sqrt{3}\right)=3+\sqrt{3}$ ..... given $f\left(x\right)=x^2+x$