If f (x) = x+4/x, g (x) = x-2 and h (x) = 4x-1 what is f (h (g (x))) ?

f (h (g (x))) = (4x-9) + 4 / (4x-9)

Step-by-step explanation:

We have given three functions and we have to find their compositions.

f (x) = x+4/x, g (x) = x-2 and h (x) = 4x-1

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

Firstly, we have to find h (g (x)).

h (g (x)) = h (x-2)

h (g (x)) = 4 (x-2) - 1

h (g (x)) = 4x-8-1

h (g (x)) = 4x-9

now find f (h (g (x)))

f (h (g (x))) = f (4x-9)

f (h (g (x))) = (4x-9) + 4 / (4x-9) which is the answer.

hello : f (h (g (x))) = (4x - 9) + 4 / (4x - 9)

Step-by-step explanation:

calculate : h (g (x))

h (g (x)) = h (x - 2) = 4 (x - 2) - 1 = 4x - 8 - 1

h (g (x)) = 4x - 9

calculate : f (h (g (x)))

f (h (g (x))) = f (4x - 9) = (4x - 9) + 4 / (4x - 9)