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If f(x) = x 2 + 1 and g(x) = 3x + 1, find g(20) + f(6).

Question

If f(x) = x 2 + 1 and g(x) = 3x + 1, find g(20) + f(6).

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Solution

Sure, let's solve this step by step.

First, we need to find the values of g(20) and f(6).

  1. Substitute x = 20 into g(x) = 3x + 1:

    g(20) = 3*20 + 1 = 60 + 1 = 61

  2. Substitute x = 6 into f(x) = x^2 + 1:

    f(6) = 6^2 + 1 = 36 + 1 = 37

Finally, add the results of g(20) and f(6) together:

g(20) + f(6) = 61 + 37 = 98

So, g(20) + f(6) = 98.

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