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Given the following table with selected values of the linear functions g(x) and h(x), determine the x-intercept of g(h(x)).

x -6 -4 -11 5
g(x) -11 -7 -1 3 11
h(x) 16 10 1 -5 -17

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Final answer:

To find the x-intercept of g(h(x)), you must first find where h(x)=0 and then see if g(x) equals zero at that same x-value. The provided table does not list h(x)=0, hence we can't determine the x-intercept from the given information alone.

Step-by-step explanation:

The question involves finding the x-intercept of the composite function g(h(x)). To find the x-intercept, we need to determine the value of x for which g(h(x))=0. First, identify the x-value at which h(x) is zero. Then, we take this value and input it into g(x) to see if it results in a zero. However, from the table provided, h(x) is never explicitly zero, and thus we cannot directly find the x-intercept from the given values alone. Additional information or a functional form is required to calculate the x-intercept of g(h(x)).

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