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If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] 2.

Question

If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] 2.

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Solution

Sure, let's solve this step by step:

  1. First, we need to find the values of f(2) and g(1).

  2. For f(2), we substitute x = 2 into the equation f(x) = x^2 + 1. This gives us f(2) = 2^2 + 1 = 4 + 1 = 5.

  3. For g(1), we substitute x = 1 into the equation g(x) = 3x + 1. This gives us g(1) = 3*1 + 1 = 3 + 1 = 4.

  4. Now, we need to find the value of [f(2)-g(1)]^2. This means we subtract the value of g(1) from f(2) and then square the result.

  5. So, [f(2)-g(1)]^2 = (5 - 4)^2 = 1^2 = 1.

So, [f(2)-g(1)]^2 = 1.

This problem has been solved

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