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f(x)=2x+3;g(x)=3x-1quad Find ((f)/(g))(x)

f(x)=2x+3;g(x)=3x−1 f(x)=2 x+3 ; g(x)=3 x-1 \quad Find (fg)(x) \left(\frac{f}{g}\right)(x)

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Q. f(x)=2x+3;g(x)=3x−1 f(x)=2 x+3 ; g(x)=3 x-1 \quad Find (fg)(x) \left(\frac{f}{g}\right)(x)
  1. Divide f(x)f(x) by g(x)g(x): To find (f/g)(x)(f/g)(x), we need to divide f(x)f(x) by g(x)g(x).\newline(f/g)(x)=f(x)g(x)=2x+33x−1(f/g)(x) = \frac{f(x)}{g(x)} = \frac{2x + 3}{3x - 1}
  2. Simplify the expression: Now, we simplify the expression if possible, but in this case, it cannot be simplified further.\newlineSo, (f/g)(x)=2x+33x−1(f/g)(x) = \frac{2x + 3}{3x - 1} is the final answer.

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