Question

Drag the tiles to the correct boxes to complete the pairs.Match each function to its domain

Answer 1

f(x) =
`√(x+5)` : All real numbers greater than/equal to 5

Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.

f(x) =
`(7)/(x-8)` : All real numbers except 8

Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this:
`(7)/(8-8) =(7)/(0)` (this is impossible).

f(x) =
`√(2)` : All positive real numbers and 0

Explanation: Again, you can't square root negative numbers.

f(x) = 8x : All real numbers

Not much to explain for this one, any real number makes this equation true.