The domain of the function f (x) = 3x-6/x+4.5 (-3,-1, 2, 4,5). What is the function's range?

• The range for the given domain of the function f (x) = 3x-6/x+4.5 is

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

Step-by-step explanation:

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) }

Taking it one by one

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

F (3) = (3 (-3) - 6/3) + 4.5 = (-9-6/-3) + 4.5 = (-15/-3) + 4.5 = 5+4.5 = 9.5

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

f (2) = (3 (2) - 6/2) + 4.5 = (6-6/2) + 4.5 = (0/2) + 4.5 = 0 + 4.5 = 4.5

f (4) = (3 (4) - 6/4) + 4.5 = (12-6/4) + 4.5 = (6/4) + 4.5 = 1.5+4.5 = 6

f (5) = (3 (5) - 6/5) + 4.5 = (15-6/5) + 4.5 = (9/5) + 4.5 = 1.8 + 4.5 = 6.3

The range for the given domain of the function f (x) = 3x-6/x+4.5 for {-3,-1,2,4,5} is {9.5,13.5,4.5,6,6.3}

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