Question

given g(x) represented in the table and h(x) = g(x) − 7, determine h(0).

x	0	1	2
g(x)	-8	0	8

options: -15, -8, -3, 21

Explanation:

Step1: Find \( g(0) \)

From the table, when \( x = 0 \), \( g(0)=-8 \).

Step2: Calculate \( h(0) \)

Since \( h(x)=g(x)-7 \), substitute \( x = 0 \). Then \( h(0)=g(0)-7 \).
Substitute \( g(0)=-8 \) into the equation: \( h(0)=-8 - 7\).

$$h(0)=-15$$

Answer:

-15