For the given functions f and g , find the indicated composition.

Question

f(x) = (2)/(x-2), g(x)=(5)/(4x)

(f∘g)(x)

Answer 1

(f o g)(x) = 2 / [(5/4x) - 2]

(f o g)(x) = 2 / [(5 - 8x) / 4x]

(f o g)(x) = 2 (4x) / (5 - 8x)

(f o g)(x) = 8x / (5 - 8x)

Answer 2

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