The original function fx has a domain 17 and range 510 fx3 f

The original function, f(x), has a domain [1,7] and range [-5,10]. f(x+3), f(x-2), f(x)-2

what is the domain and range?

Solution

f(x), has a domain [1,7] and range [-5,10]

f(x+3), has a domain [1-2,7-2]=[-1,5] and range [-5,10]

f(x-2), has a domain [1+2,7+2]=[3,9] and range [-5,10]

f(x) -2, has a domain [1,7] and range [-5-2,10-2]=[-7,8]