Question

1. f(x) = 5x +4
for Range = {5, 6, 7, 8}​
Determine the domain

Answer 1

see explanation

Explanation:

Given the range of f(x), find the domain by equating f(x) to each of the values in the range, that is

5x + 4 = 5 ( subtract 4 from both sides )

5x = 1 ( divide both sides by 5 )

x =
`(1)/(5)`

5x + 4 = 6 ( subtract 4 from both sides )

5x = 2 ( divide both sides by 5 )

x =
`(2)/(5)`

5x + 4 = 7 ( subtract 4 from both sides )

5x = 3 ( divide both sides by 5 )

x =
`(3)/(5)`

5x + 4 = 8 ( subtract 4 from both sides )

5x = 4 ( divide both sides by 5 )

x =
`(4)/(5)`

Thus

domain = {
`(1)/(5)`,
`(2)/(5)`,
`(3)/(5)`,
`(4)/(5)` }