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If f(x) = x-1/3 and g(x) = 3x+1 , what is the domain of (f*g)(x) ?

User Bastelflp
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1 Answer

6 votes

Answer:

-∞ < x < ∞

Set of all integers

Explanation:

Given in the question two functions

f(x) =
x^{(1)/(3) } = ∛x

g(x) = 3x + 1

(f*g)(x)

f(g(x))

∛(3x+1)

Domain of (f*g)(x)

In function ∛(3x+1) , variable x can be any integer.

so, the domain is set of all integers

-∞ < x < ∞

User ThisIsAQuestion
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8.3k points

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