y = 4^{x - 5}+3\nthe domain of this function is\nnegative infinity to zero\n0 to infinity\nnegative infinity…

Explanation:

Step1: Recall domain of exponential functions

The general form of an exponential function is $y = a^{x}$, where $a>0,a\neq1$ and $x$ can be any real - number. In the given function $y = 4^{x - 5}+3$, the base of the exponential part is $a = 4$ (which is greater than 0 and not equal to 1), and the exponent is $x-5$.

Step2: Determine the domain

Since the exponent $x - 5$ can take on any real - number value for the exponential function $4^{x - 5}$, there are no restrictions on the value of $x$. So, $x$ can range from negative infinity to infinity.

Answer:

negative infinity to infinity