The domain of f(x) is −6 ≤ x ≤ 8 and the range is 6 ≤ y ≤ 12. If g(x) = 3f(x − 6), what is the domain and range of g(x) ?
The
domain 0 ≤ x≤ 14
range 18 ≤ y≤ 36
but I'm not sure how to solve to get to these answers
The
domain 0 ≤ x≤ 14
range 18 ≤ y≤ 36
but I'm not sure how to solve to get to these answers
1 Answer
Apr 15, 2018
When dealing with transformations I find it useful to use the following equation:
#(m/b + c, an + d)#
Where
#(-6 + 6, 3(6)) = (0, 18)#
#(8 + 6, 3(12)) = (14,36)#
Thus our new domain will be
Hopefully this helps!