# maths

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f and g are functions defined as f(x)=5x+6/2x−2 and g(x)=4x/3x−2. What is the value of (f∘g)(4)?

Note: f∘g denotes the composition of the 2 functions.

• maths -

f∘g(x) = f( (g(x) )

I will assume you meant:
g(x) = 4x/(3x-2) and f(x) = (5x+6)/(2x-2)
those brackets are essential

g(4) = 16/10 = 1.6
f( g(4))
= f(1.6)
= 14/1.2 = 140/12= 35/3

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