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3 votes
3 votes
F(x) = cube root 2x
g(x) = 2x + 1
Find (f/g) (X) Include any restrictions on the domain

F(x) = cube root 2x g(x) = 2x + 1 Find (f/g) (X) Include any restrictions on the domain-example-1
User Nilo Araujo
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1 Answer

15 votes
15 votes

Answer:

B.

Explanation:

any arithmetic operation with functions just means to do this operation with the functional expressions.

f/g is really just the expression of f divided by the expression of g.

so, this results in a fraction with the denominator (bottom part) = 2x + 1

as you know, a division by 0 is not a valid operation, and therefore we have to forbid any value for x that would create a 0 in the denominator.

so, for what x do we get

2x + 1 = 0

2x = -1

x = -1/2

therefore, we have to exclude x = -1/2.

User MrRolling
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3.0k points