169k views
2 votes
Given: g(x) = 1/x+2 and h(x) =3x

check all restrictions on the domain of g°h
A: x≠0
B: x≠-2
C: x≠-2/3
D: there are no restrictions

User Numpty
by
3.4k points

2 Answers

1 vote

Answer:

A: x≠0

Explanation:

(g°h)(x) = g(h(x)) = g(3x) = 1/3x + 2

For the composite function, x≠0 because that will make the denominator 0. Other than that, that's the only restriction on the domain.

Therefore, the correct answer is A

User Marcelo A
by
3.0k points
4 votes

Answer:x not equal- 2/3

Explanation:

User Ludwig
by
3.4k points