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Home » oxed2x^3 - 11x^2 + 17x - 20 - Crosslake

oxed2x^3 - 11x^2 + 17x - 20 - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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First, find the expression for \( f(g(x)) \). Given \( g(x) = \sqrt{x+...
f(g(x)) = f(\sqrt{x+3}) = (\sqrt{x+3})^2 + 2\sqrt{x+3} + 1
Simplify the expression:
f(g(x)) = x + 3 + 2\sqrt{x+3} + 1 = x + 2\sqrt{x+3} + 4
Now find \( f(g(5)) \):
g(5) = \sqrt{5+3} = \sqrt{8} = 2\sqrt{2}
Substitute into \( f(x) \):
f(g(5)) = (2\sqrt{2})^2 + 2(2\sqrt{2}) + 1 = 8 + 4\sqrt{2} + 1 = 9 + 4...
\boxed{9 + 4\sqrt{2}}
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