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

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Answer 1 · 2017-08-19T15:00:00

See a solution process below:

The range is the output of a function. To find the domain, the input to a function, we need to find the value of $x$ for each value of the Range.

For $**R = 0**$

$0 = x - 7$
$0 + color(red)(7) = x - 7 + color(red)(7)$
$7 = x - 0$
$7 = x$
$x = 7$

For $**R = 1**$

$1 = x - 7$
$1 + color(red)(7) = x - 7 + color(red)(7)$
$8 = x - 0$
$8 = x$
$x = 8$

For $**R = 2**$

$2 = x - 7$
$2 + color(red)(7) = x - 7 + color(red)(7)$
$9 = x - 0$
$9 = x$
$x = 9$

For $**R = 3**$

$3 = x - 7$
$3 + color(red)(7) = x - 7 + color(red)(7)$
$10 = x - 0$
$10 = x$
$x = 10$

The Domain Is: $D = {7, 8, 9, 10}$