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Mariana [72]
3 years ago
10

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

Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

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)

xxMikexx [17]3 years ago
3 0

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.

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Step-by-step explanation:

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Read 2 more answers
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