Question

If `f(x) = 2 - x^(1/2)` and `g(x)=x^2-9`, what is the domain of `g(x)-:f(x)`?
a.`(-oo,2]` and `[2,oo)`

b.`(-oo,4]` and `[4,oo)`

c.`(-oo,2]` and `[4,oo)`

d.`(-oo,-2]` and `[2,oo)`

Answer 1

you should / as a divided sign.

the domain is the x values the function can have such that it returns a real number.

so in this case and most cases, the numbers that the function can't have are caused by the denominator or square roots because the denominator cannot = 0 and the root must be greater than or equal to 0.

so, what number(s) make the denominator 0 or a root negative?

Answer 2

i figured it out. thanks though

Answer 3

cool ^_^