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If F(x) = x² + 5x and G(x) = 2x + 1, find F(5) + G(6).

Question

If F(x) = x² + 5x and G(x) = 2x + 1, find F(5) + G(6).

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Solution

To find F(5), we substitute x = 5 into the equation F(x) = x² + 5x:

F(5) = (5)² + 5(5) = 25 + 25 = 50

To find G(6), we substitute x = 6 into the equation G(x) = 2x + 1:

G(6) = 2(6) + 1 = 12 + 1 = 13

Finally, to find F(5) + G(6), we add the values we found:

F(5) + G(6) = 50 + 13 = 63

Therefore, F(5) + G(6) equals 63.

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