Let h (x) = (g o f) (x) = sqrt{x+3}

Which of the following could be a possible decomposition of h (x) ?

I am assuming you meant to write the following options

A. f (x) = x+3; g (x) = √x

B. f (x) = x; g (x) = x+3

C. f (x) = √x; g (x) = x+3

D. f (x) = 3x; g (x) = √x

You need to find a fucntion f (x) that once evaluated in g (x) gives us as a result h (x)

h (x) = g (f (x))

Looking at the options, the answer is A.

g (f (x)) = sqrt (f (x)) = sqrt (x + 3) = h (x)