If $f\left( \dfrac{x-3}{5-x} \right) = \dfrac{3x-2}{x-2}$ , find $f(1)$ .

The answer is 5.

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In f( $\frac{x - 3}{5 - x}$ ), we want to make this function into

f(1)Thus, solving the problem we have to equate $\frac{x - 3}{5 - x}$ = 1, and we get x =

4Then substituting thus value of x in the expression $\frac{3x - 2}{x+1}$ , we have

$\frac{3x - 2}{x - 2}$ = $\frac{3(4) - 2}{(4) - 2}$ =

5Hence the answer is $\boxed{5}$