Question

Given
f
(
x
)
=
3
√
x
+
8
, identify the domain of the function as an inequality.(1 point)
Responses

x
<
0
x is less than 0

−
10
≤
x
≤
10
negative 10 is less than or equal to x is less than or equal to 10

x
>
0
x is greater than 0

−
∞
<
x
<
∞

Answer 1

Interpret 3√x as the cube root of x. Cube roots are defined for every real number, and adding 8 doesn't change that, so the domain is all real numbers:

−∞ < x < ∞