Express the function G in the form f ∘ g ∘ h

G(x) = 3/(7+sqrt of x)^2

hmmm brainliest?

Step-by-step explanation:

Given f (x) = sqrt(x) and g(x) = x – 2, find the domains of ( f o g)(x) and (g o f )(x).

Since  f (x) involves a square root, the inputs have to be non-negative. This means that the domain (the set of x-values) for f (x) is "all x > 0". Then, in (g o f )(x), where I'm plugging x first into f (x) = sqrt(x), the domain is at least restricted to "all x > 0". Let's see what the two compositions look like:

( f o g)(x) =  f (g(x))

   =  f (x – 2)

   = sqrt(         )

   = sqrt(x – 2)

The domain for the square root is all inputs that make "x – 2" non-negative. That is, all x such that x – 2 > 0. Solving this for x, I get that the domain of ( f o g)(x) is "all x > 2".

a - base

b - exponent

so,