f(g(x))=frac{1}{frac{3}{x}+5-5}

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Accepted Answer

Step:1 ：The given function is f(g(x))=frac{1}{frac{3}{x}+5-5}.Step:2 ：First, simplify the denominator of the fraction. The denominator is frac{3}{x}+5-5. The terms +5 and -5 cancel each other out, leaving us with frac{3}{x}.Step:3 ：So, the function simplifies to f(g(x))=frac{1}{frac{3}{x}}.Step:4 ：Next, simplify the fraction frac{1}{frac{3}{x}}. This is a complex fraction, and it can be simplified by multiplying the numerator and the denominator by x.Step:5 ：The simplified expression is frac{x}{3}.Step:6 ：Final Answer: f(g(x))=boxed{frac{x}{3}}

Answer

Step: 1 ：The given function is f(g(x))=frac{1}{frac{3}{x}+5-5}.Step: 2 ：First, simplify the denominator of the fraction. The denominator is frac{3}{x}+5-5. The terms +5 and -5 cancel each other out, leaving us with frac{3}{x}.Step: 3 ：So, the function simplifies to f(g(x))=frac{1}{frac{3}{x}}.Step: 4 ：Next, simplify the fraction frac{1}{frac{3}{x}}. This is a complex fraction, and it can be simplified by multiplying the numerator and the denominator by x.Step: 5 ：The simplified expression is frac{x}{3}.Step: 6 ：Final Answer: f(g(x))=boxed{frac{x}{3}}

$f(g(x))=\frac{1}{\frac{3}{x}+5-5}$

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