Find the Excluded Values (-3x+21)/(-2x-4)*(x^2-16)/(x-7)

$\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x^{2} - 16}{x - 7}$

Step 1

Set the denominator in $\frac{- 3 x + 21}{- 2 x - 4}$ equal to $0$ to find where the expression is undefined.

$- 2 x - 4 = 0$

Step 2

Solve for $x$ .

Add $4$ to both sides of the equation.

$- 2 x = 4$

Divide each term in $- 2 x = 4$ by $- 2$ and simplify.

Divide each term in $- 2 x = 4$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{4}{- 2}$

Divide $x$ by $1$ .

$x = \frac{4}{- 2}$

Simplify the right side.

Divide $4$ by $- 2$ .

$x = - 2$

Step 3

Set the denominator in $\frac{x^{2} - 16}{x - 7}$ equal to $0$ to find where the expression is undefined.

$x - 7 = 0$

Step 4

Add $7$ to both sides of the equation.

$x = 7$

Step 5

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 $0$ .

$x = - 2, x = 7$

Step 6

Find the Excluded Values (-3x+21)/(-2x-4)*(x^2-16)/(x-7)

Related Questions

Support LCMGCF.com by disabling your adblocker.