see the domains of each
then find any restricted values (division by 0 and square root by negatives are not allowed)
f(x)=2-(x^1/2) or f(x)=2-√x
g(x)=x²-9
alright
the see the domains of each
domain is numbers you can use
domain of f(x) is all numbers greater than or equal to 0
domain of g(x) is all real numbers
domain of g(x)/f(x)
the denom can't be equal to 0
so f(x)=0 is restricted value
solve f(x)=2-√x=0
2-√x=0
2=√x
4=x
so x can't be 4 either
domain is real numbers greater than or equal to 0 not including 4
in interval notation it is [0,4) U (4,+∞)