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Algebra
Question

Given \( f ( x ) = \sqrt { x } \) and \( g ( x ) =...

Given \( f ( x ) = \sqrt { x } \) and \( g ( x ) = 3 x + 12 \) , find the domain of \( f ( g ( x ) ) \) Use interval notation and type 'inf for \( \infty \) 

Answer

\(f(x)= \sqrt x\ (x\ge0)\\g(x)= 3x+ 12\ge0\Rightarrow x\ge- 4\\x\in[- 4,+ \infty)\)

Solution
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