Question

the tables represent the functions $f(x)$ and $g(x)$.

$x$	$f(x)$		$x$	$g(x)$
---	---		---	---
$-3$	$-5$		$-3$	$-13$
$-2$	$-3$		$-2$	$-9$
$-1$	$-1$		$-1$	$-5$
$0$	$1$		$0$	$-1$
$1$	$3$		$1$	$3$
$2$	$5$		$2$	$7$

which input value produces the same output value for the two functions?

• $x = -1$
• $x = 0$
• $x = -3$
• $x = 1$

Explanation:

Step1: Check \( x = -1 \)

For \( f(x) \), when \( x = -1 \), \( f(-1) = -1 \). For \( g(x) \), when \( x = -1 \), \( g(-1) = -5 \). Not equal.

Step2: Check \( x = 0 \)

For \( f(x) \), when \( x = 0 \), \( f(0) = 1 \). For \( g(x) \), when \( x = 0 \), \( g(0) = -1 \). Not equal.

Step3: Check \( x = -3 \)

For \( f(x) \), when \( x = -3 \), \( f(-3) = -5 \). For \( g(x) \), when \( x = -3 \), \( g(-3) = -13 \). Not equal.

Step4: Check \( x = 1 \)

For \( f(x) \), when \( x = 1 \), \( f(1) = 3 \). For \( g(x) \), when \( x = 1 \), \( g(1) = 3 \). Equal.

Answer:

\( x = 1 \)