Answer: Â f(x)= [tex]0.5^x[/tex] has all real value as its domain.
Explanation: since, we have three functions f(x)=[tex]0.5^x[/tex],
while g(x) and p(x) are line segments.
Now, g(x) is a function by a line segment which passes through two points (-1.8,-3) and ( 1,3.8).
Thus it is clear that its domain will be the ends points. so domain of the function g(x) will be [-1.8, 3.8] which is the subset of real numbers set (R).
Similarly, domain of function p(x) will be [1.7, 1], which is also the subset of R.
But, when we talk about f(x) it contains all the possible value of x. Thus we can say that [tex]f(x)= 0.5^x[/tex] has R as its domain.
