Given the function f(x)=(x+4) / (x^2-5x+6) where 0

Question

Given the function f(x)=(x+4) / (x^2-5x+6) where 0<x<5, find the domain of f(x).
A. x does not equal -4
B. 0<x<5, x does not equal 2, x does not equal 3
C. all real numbers except x does not equal 2, x does not equal 3
D. 0<x<5

blurbendy · Answer

C

the bottom factors to:
(x -2) (x - 3)

and 0 < x < 5
, but x = 2 and x = 3 doesn't satisfy the function because then you'd be dividing by 0 on the bottom

blurbendy · Answer

Also, in case you're wondering, B doesn't work because 0 < x < 5 doesn't tell you anything.  x could be an integer, but 5/5 also works, and C includes all real numbers so that is the most complete answer

anonymous · Answer

oh thank you for the explanation!

blurbendy · Answer

yw