The attached graph represents the function h(x), where h(x) = f(x)g(x)
Consider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?
We have
f(x) = x - 6
g(x) = x + 6
The equation h(x) = f(x)g(x) means
h(x) = f(x) * g(x)
So, we have:
h(x) = (x - 6) * (x + 6)
Expand
h(x) = x² - 36
See attachment for the graph of function h(x)
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