we conclude that the domain of h(x) is x ≥ 2
What will be the domain of h(x)?
Notice that h(x) is defined as the difference of the two shown functions:
h(x) = f(x) - g(x).
Then the domain of h(x) will be the same one as the intersections between the domains of functions f(x) and g(x), and by looking at the image, we can see that the domain of f(x) is smaller, thus, the domain of h(x) is the same domain as the one of f(x).
The domain of f(x) is x ≥ 2
Then we conclude that the domain of h(x) is x ≥ 2
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