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43 votes
43 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 Danilo Akamine
by
2.5k points

2 Answers

15 votes
15 votes

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 Tonfa
by
3.0k points
19 votes
19 votes

Answer:x not equal- 2/3

Explanation:

User Lukas Thum
by
2.8k points