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5 votes
Find the domain of fg

f(x)=x^2+1
g(x)=1/x


a. all real numbers

c. all real numbers, except -1

b. all real numbers, except 0

d. all real numbers, except 1

User Vonlanthen
by
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2 Answers

3 votes

Answer:

the correct answer is B

Explanation:

I took the test

User AngryInsomniac
by
8.0k points
1 vote
We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0
User Seanxiaoxiao
by
8.6k points

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