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2 Find g(x) and f(x) such that gf(x) is: a (3x+10)^3 b (1)/(2x+4) sqrt (x^2-3x) d (10)/((3x-x^2))^(3)
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Kıdemli · 10 yıl öğretmeniUzman doğrulaması
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To find $g(x)$ and $f(x)$ such that $gf(x)$ is $(3x+10)^{3}$, we need to identify two functions whose product gives us the given expression.<br /><br />Let's consider the options:<br /><br />a) $(3x+10)^{3}$: This is the given expression, so we need to find $g(x)$ and $f(x)$ such that $gf(x) = (3x+10)^{3}$.<br /><br />b) $\frac {1}{2x+4}$: This is not the given expression, so we can eliminate this option.<br /><br />c) $\sqrt {x^{2}-3x}$: This is not the given expression, so we can eliminate this option.<br /><br />d) $\frac {10}{(3x-x^{2})^{3}}$: This is not the given expression, so we can eliminate this option.<br /><br />Therefore, the correct answer is option a) $(3x+10)^{3}$.
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