Answer:
(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.
Answer:
(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)
