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

1 Answer
Aug 19, 2017

Answer:

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}#