Domain and range math help?

Question

F(x)=sqrtX G(x) = X+5

the question ask for the domain and range for both f and g then its ask for domain and range for f(g(x))

Id be very great full if someone taught me how to do this because i am really confused on how to find domain and range

Answer 1

Find values that are possible for f's and g's x (domain )and y(range).

Domain of f:

x ≥ 0        

Range of f:

y ≥ 0

Domain of g:

All real numbers

Range of g:

All real numbers

Subsitute G(x) into F(x), this is the composition of functions

f(g(x)) = √(x+5)

Domain of f(g(x)):

x ≥ -5

Range of f(g(x)):

y ≥ 0