SAT Question 2cf7f039: Nonlinear Functions answer and explanation with Desmos solution

Choice C is correct. It's given that $f\left(x\right)=8\sqrt{x}$. Substituting $48$ for $f\left(x\right)$ in this equation yields $48=8\sqrt{x}$. Dividing both sides of this equation by $8$ yields $6=\sqrt{x}$. This can be rewritten as $\sqrt{x}=6$. Squaring both sides of this equation yields $x=36$. Therefore, the value of $x$ for which $f\left(x\right)=48$ is $36$.