Question

help!!

Which of the following is the domain of the function G(F(x))?

(picture) http://i.imgur.com/BehO9LG.png

APEX

Answer 1

\(\bf 7\sqrt{x-2}\)

whatever values that DO NOT make the radicand negative

for example say if we use 1 then we end up with \(\bf 7\sqrt{1-2}\implies 7\sqrt{-1}\)

so can't be that....

Answer 2

so "x" can't be 1 and thus the "domain" or "x" cannot be that

so notice the values that "x" can "safely" take and still not make the radicand a negative value
0 is ok btw... just not negative

so x = 2 will give \(\bf 7\sqrt{2-2}\implies 7\sqrt{0}\) and that's ok, just not negative ones

Answer 3

all values of less than or equal to 7
let's see if you use x = -6 does it give you a negative radicand?

-6 is "less than or equal" to 7 btw