What would the domain of this be in interval notation?

Domain: [2, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that we cannot take the 4th root of a negative number, so under the square root, the entire thing can't be negative. This means that the x-value cannot be lower than 2, but can be 2 itself:

[2, ∞)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).