Evaluate the Function f(1)=(2t(t+1))/(t-1)-(3+t)/(t-1)

$f (1) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$

Replace the variable $t$ with $1$ in the expression.

$f (1) = \frac{2 (1) ((1) + 1)}{(1) - 1} - \frac{3 + 1}{(1) - 1}$

Remove parentheses.

$f (1) = \frac{2 (1) ((1) + 1)}{(1) - 1} - \frac{3 + 1}{(1) - 1}$

Subtract $1$ from $1$ .

$f (1) = \frac{2 (1) ((1) + 1)}{0} - \frac{3 + 1}{(1) - 1}$

The expression contains a division by $0$ . The expression is undefined.

Undefined