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H(x)=x−10

Determine for each x-value whether it is in the domain of h or not.

a) x≤10
b) x≥10
c)x>10
d) x<10

1 Answer

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Final answer:

To determine the domain of h(x) = x - 10, we need to consider the restrictions on x for each case: x ≤ 10, x ≥ 10, x > 10, and x < 10.

Step-by-step explanation:

To determine whether each x-value is in the domain of h(x) = x - 10, we need to consider the restrictions on x.

a) For x ≤ 10, all values of x that are less than or equal to 10 are in the domain of h.

b) For x ≥ 10, all values of x that are greater than or equal to 10 are in the domain of h.

c) For x > 10, all values of x that are greater than 10 are in the domain of h.

d) For x < 10, all values of x that are less than 10 are in the domain of h.

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