Asked by Loren
Let R = {0,1,2,3}be the range of h(x)= x-7. The domain of h is?
Answers
Answered by
MathMate
h(x)=x-7
h<sup>-1</sup>(x)=x+7
From
range of h(x) = domain of h<sup>-1</sup>(x)
and
domain of h(x) = range of h<sup>-1</sup>(x)
We conclude that the domain of h(x) is the same as the range of
h<sup>-1</sup>(x)=x+7
where the domain of h<sup>-1</sup>(x) is {0,1,2,3}.
For example:
h<sup>-1</sup>(0)=0+7=7
...
domain of h(x) is therefore {7,...}
h<sup>-1</sup>(x)=x+7
From
range of h(x) = domain of h<sup>-1</sup>(x)
and
domain of h(x) = range of h<sup>-1</sup>(x)
We conclude that the domain of h(x) is the same as the range of
h<sup>-1</sup>(x)=x+7
where the domain of h<sup>-1</sup>(x) is {0,1,2,3}.
For example:
h<sup>-1</sup>(0)=0+7=7
...
domain of h(x) is therefore {7,...}
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