Find f o g and g o f

f(x) = x² + 1,g(x) =

(a)f g

(b)g f
Find the domain of each function and each composite function.

Domain of f:

all real numbers x such that x ≥ −1

all real numbers x such that x ≥ 0

all real numbers x except x = 1

all real numbers x

Domain of
g:

all real numbers x such that x ≥ −1 all real numbers x such that x ≥ 0 all real numbers x except x = 1 all real numbers x

Domain of
f

g:

all real numbers x such that x ≥ −1 all real numbers x such that x ≥ 0 all real numbers x except x = 1 all real numbers x

Domain of
g

f:

all real numbers x such that x ≥ −1 all real numbers x such that x ≥ 0 all real numbers x except x = 1 all real numbers x