Answer
The statement, “for $f\left( x \right)={{3}^{x}}$, the domain of f is $\left[ 0,\infty \right)$” is false.
Work Step by Step
$f\left( x \right)={{3}^{x}}$
By definition, the function $f\left( x \right)={{3}^{x}}$ doesn’t have undefined points. Thus, the domain of this is all real numbers. That is, $\left( -\infty ,\infty \right)$.
But it is stated that the domain is $\left[ 0,\infty \right)$.
Therefore, the statement is false.
