Answer:
Given function is,
[tex]g(x)=\sqrt[3]{(x+7)}[/tex]
a) To find the domain of the given function.
Since the function is of cube root function.
Cube root of x is defined in the whole real line.
Hence, the given function is also defined in the whole real number line.
The domain of the function is, (in interval notation)
[tex](-\infty,\infty)[/tex]
b) To find the graph of the given function.
when y=0, we get x=-7.
we get the graph as,
Answer is: option 1.
c) Range of the function.
For the give domain the range is defined for all values we get,
Range of the function g(x) is,
[tex](-\infty,\infty)[/tex]
