SOLUTION: if f(x)= 4x-x^2 and g(x)= 1/x, then (fog)(1/2) is equal to

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Question 694143: if f(x)= 4x-x^2 and g(x)= 1/x, then (fog)(1/2) is equal to
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) = 1/x

g(1/2) = 1/(1/2)

g(1/2) = (1/1)*(2/1)

g(1/2) = 2

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f(x) = 4x - x^2

f(g(x)) = 4(g(x)) - (g(x))^2

f(g(1/2)) = 4(g(1/2)) - (g(1/2))^2

f(g(1/2)) = 4(2) - (2)^2

f(g(1/2)) = 4(2) - 4

f(g(1/2)) = 8 - 4

f(g(1/2)) = 4

(f o g)(1/2) = 4