Question 783429
If f(x) = x^2 and g(x) = x +1 ,find in simplest form f(g( y)) − g(f(y))


f(g(y)) = f(y+1) = (y+1)^2

g(f(y)) = g(y^2) = y^2+1

f(g( y)) − g(f(y)) = (y+1)^2 -(y^2+1) = 2y

Answer: 2y

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