Question

Find f of g and g of f..find the domain of each function and each composition function..

f(x)=square root of x+5
g(x)=x^2

Answer 1

fog(x)=f(g(x)
\[=\sqrt{x ^{2}}+5=x+5\]
gof(x)=g(f(x))
\[=(\sqrt{x}+5)^{2}\]

Answer 2

can you show me the solution..so that i can answer # 2 and 3 questions.. pls :)

Answer 3

First off, does f=\[\sqrt{x+5}\] or \[\sqrt{x}+5\]?

Answer 4

\[\sqrt{x+5}\]

Answer 5

fog(x) and gof(x) are the composite functions of f and g

Answer 6

okay; f(g(x))= \[\sqrt{x^2+5}\]

g(f(x))= x+5

the domain of f is x > or equal to -5 so that no negative under the root
g's domain is all the real numbers
f(g(x)) domain is all reals since x^2 always greater than zero
same with g(f(x)) domain is all reals