Question

For which value is the rational expression x-6/5x-4 undefined?

Answer 1

well Remember you cannot divide by zero

Answer 2

since this is a fraction what values of x make the denominator zero

Answer 3

If you know that you know where the function is undefined

Answer 4

so set
5x-4 = 0
and solve for x

Answer 5

5x = 4
x = 4/5

Answer 6

thus x=/= 4/5

Answer 7

In set notation it would be

(-infinity, 4/5) U (4/5, +infinity)

Answer 8

I see what you did there, but this is what I got,

Answer 9

x/5x-4 - 6/5x-4

Answer 10

\[5x+\sqrt{4}\]

Answer 11

\[5x-\sqrt{4}\]

Answer 12

I have no idea what you are doing link23

Answer 13

x= -3 and x= 7

Answer 14

then I got x-6/(x-3)(x+7) = x=5/4

Answer 15

well lets put x=-3, and x=7 into the equation

x-6/5x-4

((-3) - 6)/(5(-3) - 4)
=
-9/-19
x = -3 is clearly in the function

Answer 16

link23 you are over complicating it.

Answer 17

You are just checking what x values cannot be subbed into the equation.
Since you cannot divide by zero you simply have to see what values of x make the denominator zero.

No manipulation of simplification of the fraction as a whole is needed in this case

Answer 18

*No manipulation or simplification of the fraction as a whole is needed in this case

Answer 19

furthermore

x-6/(x-3)(x+7) =/= x-6/5x-4
as

x-6/(x-3)(x+7) = x-6/(x^(2) + 4x - 21)

Answer 20

I dont know if you are trolling me or not, the question has been answered if you are still having problems with this consult your teacher/prof.