Question

The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}. What is the function's range?

Answer 1

Answer:

Range is {5, 9, 0, 1.5, 1.8}

Step-by-step explanation:

The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}.

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

Range is the set of y values or f(x) values

To find out range, we plug in domain value that is x and values and find out f(x)

$f(x)=\frac{3x-6}{x}$, plug in x=-3

$f(-3)=\frac{3(-3)-6}{-3}=5$

Now plug in x=-1

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

Now plug in x=2

$f(-3)=\frac{3(2)-6}{2}=0$

Now plug in x=4

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

Now plug in x=5

$f(-3)=\frac{3(5)-6}{5}=1.8$

Range is {5, 9, 0, 1.5, 1.8}

Answer 2

 f(x)=[3x-6]/x is {-3, -1, 2, 4, 5}

 f(-3)=[3(-3) -6]]/-3 = -15/-3 = 5
 f(-1)=[3(-1) -6]]/-1= -9/-1 = 9
 f(2)=[3(2) -6]]/2 = 0/2 = 0
 f(4)=[3(4) -6]]/4 = 6/4 = 1.5
 f(5)=[3(5) -6]]/5 = 9/5 = 1.8

answer is 

c {5, 9, 0, 1.5, 1.8}