Write the combined function as a composition of several functions.?

Question

f(g(x)) = square root (1-x^2) +2

Answer 1

a(x) = 2

b(x) = 1

c(x) = x^2

d(x, y) = x - y

e(x, y) = x + y

h(x) = sqrt(x)

f( g(x) ) = h( b(x) - c(x) ) + a(x)

= h( d( b(x) , c(x) ) ) + a(x)

= e( h( d( b(x), c(x) ), a(x) ).