F(x)=2-x^1/2 g (x)=x^2-9 what is the domain of g(x)÷f (x)

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,+∞)

Idon’t know what the answer is i wish i could

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,