Answer
$\dfrac{4x+2}{x-3}$
Work Step by Step
Given: $\dfrac{4+\dfrac{2}{x}}{1-\dfrac{3}{x}}$
Let us consider the numerator expression
$4+\dfrac{2}{x}=\dfrac{4x+2}{x}$ ...(1)
Now, we will consider the denominator expression.
$1-\dfrac{3}{x}=\dfrac{x-3}{x}$ ...(2)
Divide equation (1) by (2).
Hence, $\dfrac{4+\dfrac{2}{x}}{1-\dfrac{3}{x}}=\dfrac{4x+2}{x-3}$
