If `f(x) = 2 - x^(1/2)` and `g(x)=x^2-9`, what is the domain of `g(x)-: f(x)`? a. `(-oo,2]` and `[2,oo)` b. `[0,4)` and `(4,oo)` c. `(-oo,2]` and `[4,oo)` d. `(-oo,-2]` and `[2,oo)`

Here

For a radical square-root function, there cannot be a negative number inside the radical. Thus, to find the domain of a radical square root function, we set up the value inside the radical as an inequality greater than or equal to 0 and solve the inequality for the variable.

So domain here would be ≥≥≥

cardinal number :  

      the cardinal number just means the total numbers between the highest and lowest numbers in a set.

    214,215,216,

total numbers between 214 to 1013 :

      = [1013-214]

      = 799

therefore cardinal number of given set is 799.