Compute f∘g(2) given f(x)=√(x+4) and g(x)=x^2.

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Multiple Choice

Compute f∘g(2) given f(x)=√(x+4) and g(x)=x^2.

Explanation:
To evaluate f∘g at 2, apply the inner function first: g(2) = 2^2 = 4. Then apply the outer function to that result: f(4) = sqrt(4 + 4) = sqrt(8). So f∘g(2) equals sqrt(8). If you like, sqrt(8) can be simplified to 2√2, but the exact value given is sqrt(8).

To evaluate f∘g at 2, apply the inner function first: g(2) = 2^2 = 4. Then apply the outer function to that result: f(4) = sqrt(4 + 4) = sqrt(8). So f∘g(2) equals sqrt(8). If you like, sqrt(8) can be simplified to 2√2, but the exact value given is sqrt(8).

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