Find Where Undefined/Discontinuous (4t-4)/(t^2-1)

$\frac{4 t - 4}{t^{2} - 1}$

Set the denominator in $\frac{4 t - 4}{t^{2} - 1}$ equal to $0$ to find where the expression is undefined.

$t^{2} - 1 = 0$

Solve for $t$ .

Add $1$ to both sides of the equation.

$t^{2} = 1$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$t = \pm \sqrt{1}$

Any root of $1$ is $1$ .

$t = \pm 1$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$t = 1$

Next, use the negative value of the $\pm$ to find the second solution.

$t = - 1$

The complete solution is the result of both the positive and negative portions of the solution.

$t = 1, - 1$

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$t = - 1, t = 1$

Find Where Undefined/Discontinuous (4t-4)/(t^2-1)

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