Finite Math Examples

$6 n + 7 \sqrt{6 n^{3} - 25 n^{2} + 63 n - 55}$

Step 1

Set the radicand in $\sqrt{6 n^{3} - 25 n^{2} + 63 n - 55}$ less than $0$ to find where the expression is undefined.

$6 n^{3} - 25 n^{2} + 63 n - 55 < 0$

Step 2

Solve for $n$ .

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Step 2.1

Graph each side of the equation. The solution is the x-value of the point of intersection.

$n \approx 1.37651935$

Step 2.2

The solution consists of all of the true intervals.

$n < 1.37651935$

Step 3

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 $0$ .

$n < 1.37651935$

$(- \infty, 1.37651935)$

Step 4