Question

How do you write `y = 2 - sqrt(5 - (3x - 1)^2)` as a composition of two simpler functions?

Answer 1

One way is to let `f(x)=2-sqrt(x)` and `g(x)=5-(3x-1)^2` so that `h(x)=2-sqrt(5-(3x-1)^2)=f(g(x))=(f circ g)(x)`.

Explanation:

There are many possible answers. Another answer is `f(x)=2-sqrt(5-x^2)` and `g(x)=3x-1` so that `h(x)=2-sqrt(5-(3x-1)^2)=f(g(x))=(f circ g)(x)`.