Okay, here w have this:
Considering the provided function, we are going to find four ordered pairs that satisfy the function, so we obtain the following:
So to find the four ordered pairs we will first find the domain of the function f(x), which corresponds to the values for which the function is defined, then we have:
The function is defined for the real values that result from the root, so let's find which values of x make what is inside the root equal to or greater than zero:
x-2≥0
x≥2
That is, the domain of the function is: [2, ∞). And any value in that interval satisfies the equation. So let's evaluate x=2, 3, 6 and 11
x=2:
f(2)=√(2-2)
f(2)=√(0)
f(2)=0
x=3:
f(3)=√(3-2)
f(3)=√(1)
f(3)=1
x=6:
f(6)=√(6-2)
f(6)=√(4)
f(6)=2
x=11:
f(11)=√(11-2)
f(11)=√(9)
f(11)=3
Finally we obtain that the ordered pairs are: {(2,0),(3,1),(6,2),(11,3)}.