Question

given $f(x) = 7x - 3$ with a domain of ${-4, -2, 0}$, which value would not be an output?

• $-31$
• $-3$
• $-17$
• $-25$

Explanation:

Step1: Calculate \( f(-4) \)

Substitute \( x = -4 \) into \( f(x) = 7x - 3 \).
\( f(-4) = 7\times(-4) - 3 = -28 - 3 = -31 \)

Step2: Calculate \( f(-2) \)

Substitute \( x = -2 \) into \( f(x) = 7x - 3 \).
\( f(-2) = 7\times(-2) - 3 = -14 - 3 = -17 \)

Step3: Calculate \( f(0) \)

Substitute \( x = 0 \) into \( f(x) = 7x - 3 \).
\( f(0) = 7\times0 - 3 = 0 - 3 = -3 \)

Step4: Analyze the outputs

The outputs of the function for the given domain values are \(-31\), \(-17\), and \(-3\). The value \(-25\) is not among these outputs.

Answer:

\(-25\) (the option with value \(-25\))