Given f(x) and g(x) below, find and simplify (f o g)(x) and find its domain.

Question

f(x) = 7sqrt{x}

g(x) = x - 11

 

(f o g)(x) =

Answer 1

f(g(x)) =

 

f(x - 11) =

 

7√(x - 11)

 

 

The domain can be found using this equation

 

x - 11 ≥ 0