Complete the table for the function y = (3x-2)/(x+1) for integer values of x from -4 to 5. Pay close attention to when the denominator is zero.

May 18, 2026Mathematics

ScanSolve AI Answer

May 18, 2026

Answer

-1$.

Step 1: Calculate the values for $3x-2$ and $x+1$ for $x=-1$ . For $x=-1$ : $3x-2 = 3(-1)-2 = -3-2 = -5$ $x+1 = -1+1 = 0$ The value for $y = \frac{3x-2}{x+1}$ is $\frac{-5}{0}$ , which is undefined. This is represented by a dash in the table.

Step 2: Calculate the values for $3x-2$ , $x+1$ , and $y = \frac{3x-2}{x+1}$ for $x=2$ . For $x=2$ : $3x-2 = 3(2)-2 = 6-2 = 4$ $x+1 = 2+1 = 3$ $y = \frac{4}{3} \approx 1.33$ (rounded to two decimal places).

Step 3: Complete the table with the calculated values.

\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline 3x-2 & -14 & -11 & -8 & -5 & -2 & 1 & 4 & 7 & 10 & 13 \\ \hline x+1 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline y = \frac{3x-2}{x+1} & 4.67 & 5.5 & 8 & - & -2 & 0.5 & 1.33 & 1.75 & 2 & 2.17 \\ \hline \end{array}

The completed table is shown above.

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Quick Answer

Calculate the values for 3x-2 and x+1 for x=-1. For x=-1: 3x-2 = 3(-1)-2 = -3-2 = -5 x+1 = -1+1 = 0 The value for y = (3x-2)/(x+1) is (-5)/(0), which is undefined.

Asked on May 18, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 18, 2026

Step 1: Calculate the values for 3x-2 and x+1 for x=-1. For x=-1: 3x-2 = 3(-1)-2 = -3-2 = -5 x+1 = -1+1 = 0 The value for y = (3x-2)/(x+1) is (-5)/(0), which is undefined. This is represented by a dash in the table. Step 2: Calculate the values for 3x-2, x+1, and y = (3x-2)/(x+1) for x=2. For x=2: 3x-2 = 3(2)-2 = 6-2 = 4 x+1 = 2+1 = 3 y = (4)/(3) ≈ 1.33 (rounded to two decimal places). Step 3: Complete the table with the calculated values. |c|c|c|c|c|c|c|c|c|c|c| x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\ 3x-2 & -14 & -11 & -8 & -5 & -2 & 1 & 4 & 7 & 10 & 13 \\ x+1 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ y = (3x-2)/(x+1) & 4.67 & 5.5 & 8 & - & -2 & 0.5 & 1.33 & 1.75 & 2 & 2.17 \\ The completed table is shown above. What's next? Send 'em 📸