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determine the value of x that will make the rational expression undefined.

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Determine The Value Of X That Will Make The Rational Expression Undefined class=

Sagot :

KAntoineDoixidn

✏️UNDEFINED RATIO

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[tex] \large \bold{\blue{DIRECTIONS:}} [/tex] Determine the value of x that will make the rational expression undefined.

» To make the rational expression undefined, make sure that the denominator is equal to zero since you can't divide any number into zero.

#1: [tex] \frac{2}{x + 7} \\ [/tex]

  • [tex] x + 7 = 0 [/tex]

  • [tex] x = -7 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{x = -7}}} [/tex]

[tex] \: [/tex]

#2: [tex] \frac{2}{4x - 3} \\ [/tex]

  • [tex] 4x - 3 = 0 [/tex]

  • [tex] 4x = 3 [/tex]

  • [tex] \frac{\cancel4x}{\cancel4} = \frac{3}{4} \\ [/tex]

  • [tex] x= \frac{3}{4} \\ [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{x = \frac{3}{4}}}} [/tex]

[tex] \: [/tex]

#3: [tex] \frac{4}{x} \\ [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{x = 0}}} [/tex]

[tex] \: [/tex]

#4: [tex] \frac{x+1}{x+5} \\ [/tex]

  • [tex] x + 5 = 0 [/tex]

  • [tex] x = -5 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{x = -5}}} [/tex]

[tex] \: [/tex]

#5: [tex] \frac{6 - x^2}{x^3} \\ [/tex]

  • [tex] x^3 = 0 [/tex]

  • [tex] \sqrt[3]{x^3} = \sqrt[3]{0} [/tex]

  • [tex] x = 0 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{x = 0}}} [/tex]

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