Question

Determine which of the value(s), if any, must be excluded from the domain of the variable in the expression $\frac{x}{x^2 - 49}$ $x = 0$ $x = -7$ $x = -5$ $x = 7$ Select all that apply. $x = 0$ $x = -7$ $x = -5$ $x = 7$ None

Name: determine which of the values if any must be excluded from the domain of the variable in the expression fracxx2 49 x 0 x 7 x 5 x 7 select all that apply x 0 x 7 x 5 x 7 none 80287
Uploaded: 2020-06-03T15:13:47-08:00
Duration: 1 min 36 s
Channel: Gladys Fowler
Description: determine which of the values if any must be excluded from the domain of the variable in the expression fracxx2 49 x 0 x 7 x 5 x 7 select all that apply x 0 x 7 x 5 x 7 none 80287

          Determine which of the value(s), if any, must be excluded from the domain of the variable in the expression $\frac{x}{x^2 - 49}$
$x = 0$
$x = -7$
$x = -5$
$x = 7$

Select all that apply.
$x = 0$
$x = -7$
$x = -5$
$x = 7$
None

$determine which of the values if any must be excluded from the domain of the variable in the expression fracxx2 49 x 0 x 7 x 5 x 7 select all that apply x 0 x 7 x 5 x 7 none 80287$

Added by Manuel L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Gladys Fowler

06/03/2020

Step 1

Step 2: Set the denominator equal to zero: $x^2 - 49 = 0$ Step 3: Solve the equation for $x$. This is a difference of squares, which can be factored as $(a-b)(a+b) = a^2 - b^2$. Here, $a=x$ and $b=7$. So, $x^2 - 49 = (x - 7)(x + 7) = 0$ Step 4: For the product Show more…

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Determine which of the value(s), if any, must be excluded from the domain of the variable in the expression $\frac{x}{x^2 - 49}$ $x = 0$ $x = -7$ $x = -5$ $x = 7$ Select all that apply. $x = 0$ $x = -7$ $x = -5$ $x = 7$ None