Question

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

Answer 1

See a solution process below:

Explanation:

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}`