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

(16x² - 72x + 85) / (4x-9)

Step-by-step explanation:

first put g (x) into h (x)

h (g (x)) = 4 (x-2) - 1 = 4x - 8 - 1 = 4x - 9, then

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

(16x² - 72x + 81 + 4) / (4x-9) = (16x² - 72x + 85) / (4x-9)

(16x² - 72x + 85) / (4x-9)

Step-by-step explanation:

first put g (x) into h (x)

h (g (x)) = 4 (x-2) - 1 = 4x - 8 - 1 = 4x - 9, then

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

(16x² - 72x + 81 + 4) / (4x-9) = (16x² - 72x + 85) / (4x-9)

If you are missing parentheses around (x+4) / x, then the answer would be different.