Math  /  Algebra

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For the given functions, find (fg)(x)(f \circ g)(x) and (gf)(x)(g \circ f)(x) and the domain of each. f(x)=3x+1,g(x)=xf(x)=3 x+1, g(x)=\sqrt{x} 36 (fg)(x)=(f \circ g)(x)= \square

Studdy Solution
(fg)(x)=3x+1(f \circ g)(x) = 3\sqrt{x} + 1 with domain x0x \ge 0
(gf)(x)=3x+1(g \circ f)(x) = \sqrt{3x + 1} with domain x13x \ge -\frac{1}{3}

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