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# Determine the domain of the following function: f(x)=x+5x-4″ role=”presentation” data-asciimath=”f(x)=sqrt(x+5)/(x-4)” style=”caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); word-spacing: normal; display

Determine the domain of the following function: f(x)=x+5x-4″ role=”presentation” data-asciimath=”f(x)=sqrt(x+5)/(x-4)” style=”caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); word-spacing: normal; display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>f(x)=vx+5x-4

• x≠0″ role=”presentation” data-asciimath=”x!=0″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?0 and x≠-5″ role=”presentation” data-asciimath=”x!=-5″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?-5
• x≠4″ role=”presentation” data-asciimath=”x != 4″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?4
• x≤5″ role=”presentation” data-asciimath=”x<=5″>x=5 and x≠4″ role=”presentation” data-asciimath=”x!=4″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?4
• x≥-5″ role=”presentation” data-asciimath=”x>=-5″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x=-5 and x≠4″ role=”presentation” data-asciimath=”x!=4″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?4
• x≠4″ role=”presentation” data-asciimath=”x!=4″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?4 and x≠-5″ role=”presentation” data-asciimath=”x!=-5″ style=”display: inline-block; line-height: 0; font-size: 16.15999984741211px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>x?-5

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