Domain of the composition of these functions

[zeion]

Homework Statement

Form the composition f o g o h and give the domain.
f(x) = x - 1, g(x) = 4x, h(x) = x²

Homework Equations

The Attempt at a Solution

f(g(h(x))) = 4x²-1

The domain of x is any real number.

 

[rock.freak667]

your answer looks to be correct.

 

[mrkuo]

Looks good to me.

You know how to state the range as well?

 

[Bohrok]

What is the shape of the graph? Does it have a maximum or minimum?