Given the following conditions: g(x) = 1 / (x − 1), x = 1 . g(3) when evaluated becomes .....

To evaluate g(3), we need to determine which part of the piecewise function applies for x=3. Step 1: Identify the correct function definition based on the input value. The given function is: g(x) = (1)/(x−1), & x < 1 3x² + 1, & x ≥ 1 We need to evaluate g(3). Since 3 ≥ 1, we use the second part of the function definition, which is g(x) = 3x² + 1. Step 2: Substitute x=3 into the chosen function. g(3) = 3(3)² + 1 Step 3: Calculate the result. g(3) = 3(9) + 1; g(3) = 27 + 1; g(3) = 28

Given the following conditions: g(x) = 1 / (x − 1), x = 1 . g(3) when evaluated becomes .....

To evaluate g(3), we need to determine which part of the piecewise function applies for x=3. Step 1: Identify the correct function definition based on the input value. The given function is: g(x) = (1)/(x−1), & x < 1 3x² + 1, & x ≥ 1 We need to evaluate g(3). Since 3 ≥ 1, we use the second part of the function definition, which is g(x) = 3x² + 1. Step 2: Substitute x=3 into the chosen function. g(3) = 3(3)² + 1 Step 3: Calculate the result. g(3) = 3(9) + 1; g(3) = 27 + 1; g(3) = 28

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Given the following conditions: g(x) = 1 / (x - 1), x < 1; 3x2 + 1, x >= 1 . g(3) when evaluated becomes .....

July 2, 2026Mathematics

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Answer

g(3) = 28

Step-by-step solution

3 steps

To evaluate $g(3)$ , we need to determine which part of the piecewise function applies for $x=3$ .

Identify the correct function definition based on the input value.
The given function is:
$g(x) = \begin{cases} \frac{1}{x-1}, & x < 1 \\ 3x^2 + 1, & x \ge 1 \end{cases}$
We need to evaluate $g(3)$ .
Since $3 \ge 1$ , we use the second part of the function definition, which is $g(x) = 3x^2 + 1$ .
Substitute $x=3$ into the chosen function.
$g(3) = 3(3)^2 + 1$
Calculate the result.
$g(3) = 3(9) + 1$ $g(3) = 27 + 1$ $g(3) = \boxed{28}$

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Given the following conditions: g(x) = 1 / (x - 1), x < 1; 3x2 + 1, x >= 1 . g(3) when evaluated becomes .....

Answer

Step-by-step solution

Identify the correct function definition based on the input value.

Substitute x=3x=3x=3 into the chosen function.

Calculate the result.

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More Mathematics Questions

Substitute $x=3$ into the chosen function.