sat-dog

Choice D is correct. The value of $f\left(0\right)$ is the value of $f\left(x\right)$ when $x=0$. Substituting $0$ for $x$ in the given function yields $f\left(0\right)=270{\left(0.1\right)}^0$, or $f\left(0\right)=270\left(1\right)$, which is equivalent to $f\left(0\right)=270$. Therefore, the value of $f\left(0\right)$ is $270$.

Choice A is incorrect. This is the value of $x$, not $f\left(x\right)$.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the value of $f\left(1\right)$, not $f\left(0\right)$.