What is the domain of f(x) = 5^x – 7? {x | x > –7} {x | x < –7} {x | x > 0} {x | x is a real number}

Domain = {x | x is a real number}

Step-by-step explanation:

The function shown   is an exponential function with a vertical shift  of  -7 units (shift downwards). Nevertheless, it is an exponential function.

Domain is the set of x-values that we can put into the function. Exponential functions of this type have a domain of "all real numbers". If you see the function, you can figure out that we can put any real number and still there will be no "undefined" or "division by zero" cases.

Thus, this function's domain is the set of all real numbers.

Domain = {x | x is a real number}