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Question $\newline$ For which values of $x$ is the expression undefined? $\newline$ $\frac{x-9}{3x+8}$ $\newline$ Answer $\newline$ Attempt $1$ out of $3$

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Find the roots of factored polynomials

Full solution

Q. Question

\newline

For which values of

x

is the expression undefined?

\newline

\frac{x-9}{3x+8}

\newline

Answer

\newline

Attempt

1

out of

3

Set Denominator Equal to Zero: Set the denominator equal to zero and solve for $x$ . $3x + 8 = 0$
Subtract and Solve for x: Subtract $8$ from both sides of the equation. $\newline$ $3x + 8 - 8 = 0 - 8$ $\newline$ $3x = -8$
Divide to Isolate x: Divide both sides by $3$ to isolate x. $\newline$ $\frac{3x}{3} = \frac{-8}{3}$ $\newline$ $x = \frac{-8}{3}$
Expression is Undefined: We have found the value of $x$ that makes the denominator zero, which means the expression is undefined for this value of $x$ . $x = -\frac{8}{3}$

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