Question

@TuringTest

Answer 1

I'm debating between b and c.

Answer 2

f[g(10)] is undefined, which means that f is undefined for whatever value g(10) is
but we know for what value f(x) is undefined, so that value must be g(10)
make any sense?

Answer 3

yes, b.

Answer 4

no, sorry
let me give a quick explanation why b is wrong

Answer 5

we are told that the domain of f is all x except x=3, so f(10) must be defined...
only f(3) is undefined

Answer 6

*but*, if f(3) is undefined, and f[g(10)] is undefined, what must g(10) be?

Answer 7

since it doesn't =3 it must be "D".

Answer 8

again, no, because it says 'the domain of g is all real numbers'
that means that g(x) is always defined

Answer 9

when you say 'it' doesn't equal 3, what do you mean?

Answer 10

b/c 3 is undefined it can not be any of the answers that say =3

Answer 11

3 is just number; it can't be undefined
but the *function* f(x) is undefined at x=3
the function g(x) is defined everywhere

Answer 12

f(x) could =3 for some x like 5, or -649, or whatever, so saying that all the '=3's must be wrong is not correct

Answer 13

f(x) is only undefined for one number: 3
we are told that f( *something* ) is undefined, and then we are told that 'something' is g(10)
that means g(10) can only be one thing...