SOLUTION: If f(x) = x - 1, what is the value of x that satisfies the equality f(x) - 1 = f(x^2)- x^2

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Question 299703: If f(x) = x - 1, what is the value of x that satisfies the equality f(x) - 1 = f(x^2)- x^2
Answer by mathitutor(25) About Me  (Show Source):
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f(x) - 1 = f(x^2) - x^2
=> x - 1 - 1 = x^2 - 1 - x^2
=> x - 2 = -1
=> x = -1 + 2
=> x = 1