# algebra

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Let R = {0,1,2,3}be the range of h(x)= x-7. The domain of h is?

• algebra -

h(x)=x-7
h-1(x)=x+7

From
range of h(x) = domain of h-1(x)
and
domain of h(x) = range of h-1(x)

We conclude that the domain of h(x) is the same as the range of
h-1(x)=x+7
where the domain of h-1(x) is {0,1,2,3}.
For example:
h-1(0)=0+7=7
...
domain of h(x) is therefore {7,...}

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