Select the correct answer. if f(x)=2-x^1/2 and g(x)=x^2-9 , what is the domain of g(x) ÷ f(x)

ANSWER

[0,4) U (4,+∞)

EXPLANATION

The given functions are:

and

We want to find the domain of:

This function is defined for:

Square both sides,

Also

Therefore the domain is

[0,4) U (4,+∞)

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^