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

The function is 

$f(x)= \frac{3x-6}{x}+4.5$

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)}

$f(-3)= \frac{3(-3)-6}{-3}+4.5= \frac{-15}{-3}+4.5=5+4.5=9.5$

$f(-1)= \frac{3(-1)-6}{-1}+4.5=9+4.5=13.5$

$f(2)= \frac{3(2)-6}{2}+4.5=4.5$

$f(4)= \frac{3(4)-6}{4}+4.5= \frac{6}{4}+4.5=1.5+4.5=6$

$f(5)= \frac{3(5)-6}{5}+4.5= \frac{9}{5}+4.5= 1.8+4.5=6.3$


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

Answer 2

Answer:

D.

Step-by-step explanation: