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the tables represent the functions f(x) and g(x). which input value pro…

Question

the tables represent the functions f(x) and g(x).
which input value produces the same output value for
the two functions?

xf(x)xg(x)
-3-5-3-13
-2-3-2-9
-1-1-1-5
010-1
1313
2527

\\(\circ\\) \\(x = -3\\)
\\(\circ\\) \\(x = -1\\)
\\(\circ\\) \\(x = 0\\)
\\(\circ\\) \\(x = 1\\)

Explanation:

Step1: Check x = -3

For \( f(-3) \), from the table, \( f(-3) = -5 \). For \( g(-3) \), \( g(-3) = -13 \). Not equal.

Step2: Check x = -1

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

Step3: Check x = 0

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

Step4: Check x = 1

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

Answer:

\( x = 1 \)