Find two functions f and g such that (f ∘ g)(x) = h(x). h(x) = 4/(x+2)

Answer 1

h(x) = 4/(x+2)

find f and g such that f(x)g(x) = h(x) = 4/(x+2)

f(x) = 1/(x+2), g(x) =x or vice versa

but you probably mean f(g(x)) = h(x) then a different answer such as

f(x) =4/x and g(x) = x+2

f(g(x)) = f(x+2) = 4/(x+2)

or f(x) = 1/x and g(x) = (x+2)/4

then f(g(x)) = f((x+2)/4)) = 1/(x+2)/4 = 4/(x+2) = h(x)

Answer 2

(f ∘ g)(x) means f(g(x)) meaning you take g(x), whatever it is, and plug it into f(x) wherever there is an "x"

One possibility would be:

f(x) = 4/x

g(x) = x + 2