range of a function

[languid jay]

i know this is supposed to be easy but i literally dont understand how they worked out part b

[rough comet]

since x>5 is the domain, the max value of our range is when g(5)
so 15/2 this is inclusive as the domain is >
when x gets really big, you can essentially ignore any term without a variable in it, as it won't really affect g(x)'s value
so as x -> ♾️, g(x) = 2x/x => g(x) = 2, so g(x)'s range tends to 2 at large values
therefore range is 2<x<=15/2

[rain shadow]

@languid jay all good?