Respuesta :
ANSWER
[tex]\begin{gathered} 1)\text{ Undefined} \\ \\ 2)\text{ }3 \\ \\ 3)\text{ }2.4 \\ \\ 4)\text{ }5 \\ \\ 5)\text{ }2+\frac{1}{a} \end{gathered}[/tex]EXPLANATION
We want to find the value of y:
[tex]y=\frac{2x+1}{x}[/tex]for the values of x.
To do this, for each value of x, substitute the values of x into the equation and simplify.
1. x = 0:
[tex]\begin{gathered} y=\frac{2x+1}{x} \\ \\ y=\frac{2(0)+1}{0}=\frac{0+1}{0}=\frac{1}{0} \\ \\ y=\text{ Undefined} \end{gathered}[/tex]The value of y is undefined for x = 0 since any value divided by 0 is undefined.
2. x = 1:
[tex]\begin{gathered} y=\frac{2(1)+1}{1}=\frac{2+1}{1} \\ \\ y=\frac{3}{1} \\ \\ y=3 \end{gathered}[/tex]3. x = 2.5:
[tex]\begin{gathered} y=\frac{2(2.5)+1}{2.5}=\frac{5+1}{2.5} \\ \\ y=\frac{6}{2.5} \\ \\ y=2.4 \end{gathered}[/tex]4. x = 1/3:
[tex]\begin{gathered} y=\frac{2(\frac{1}{3})+1}{\frac{1}{3}}=\frac{\frac{2}{3}+1}{\frac{1}{3}} \\ \\ y=\frac{\frac{5}{3}}{\frac{1}{3}}=\frac{5}{3}*\frac{3}{1} \\ \\ y=5 \end{gathered}[/tex]5. x = a:
[tex]\begin{gathered} y=\frac{2(a)+1}{a}=\frac{2a+1}{a} \\ \\ y=2+\frac{1}{a} \end{gathered}[/tex]That is the answer.
