Question

the domain and range of the function f(x) = √x - 2 is

a.  all real number excluding 2 and all positive numbers

b.  all real numbers and all positive numbers

c.  all real numbers smaller than or equal to 2 and all positive numbers

d.  all real number greater than or equal to 2 and all positive numbers

Answer 1

If f(x)=√(x-2) the domain is governed by the fact that x-2≥0 so x≥2.

Assuming the positive square root, f(x)≥0.

So the domain is x≥2 and the range is f(x)≥0, answer option d.