Question

The domain of the function f(x)=3x-6/x +4.5 is {-3, -1, 2, 4, 5}. what is the functions range?

A.) (-10.5, -4.5, 4.5, 10.5, 13.5)
B.) (3.5, 1.5, 4.5, 6, 6.3)
C.) (5, 9, 0, 1.5, 1.8)
D.) (9.5, 13.5, 4.5, 6, 6.3)
E.) (9.5, 13.5, 0, 10.5, 13.5)

Answer 1

D.

Explanation:

Answer 2

The function is


`f(x)= (3x-6)/(x)+4.5`

the range is the set of all the values produced when we calculate f of all values in the domain.

so Range={f(-3), f(-1), f(2), f(4), f(5)}


`f(-3)= (3(-3)-6)/(-3)+4.5= (-15)/(-3)+4.5=5+4.5=9.5`


`f(-1)= (3(-1)-6)/(-1)+4.5=9+4.5=13.5`


`f(2)= (3(2)-6)/(2)+4.5=4.5`


`f(4)= (3(4)-6)/(4)+4.5= (6)/(4)+4.5=1.5+4.5=6`


`f(5)= (3(5)-6)/(5)+4.5= (9)/(5)+4.5= 1.8+4.5=6.3`


Answer: D ) Range={9.5, 13.5, 4.5, 6, 6.3}