Question

PLEASE HELP!!!!!

Add and identify any x-values for which the following expression is undefined:

(3x-2)/(x+2) + (2x)/(4x-1)

Thanks! :)

Answer 1

Ok, so the expression is undefined if you divide by 0.

Answer 2

So either (x+2) = 0
or (4x-1) = 0

Answer 3

so x = -2, or x = 1/4

Answer 4

Okay, thanks! That part makes sense!

Answer 5

So the values of x for which the expression is undefined are -2, 0.25

Answer 6

Okay

Answer 7

But!

Answer 8

they want us to add first, so you have to find a common denominator and add the fractions

Answer 9

(4x-1)(x+2)

Answer 10

excellent

Answer 11

So what is the new fraction?

Answer 12

(12x^2-8x-3x+2+2x^2+4x)/(4x-1)(x+2)

Answer 13

Simplified: (14x^2-7x+2)/(4x-1)(x+2)

Answer 14

Good, and now, this expression is undefined when the denominator is 0

Answer 15

Can the numerator be factored any more and then be canceled with one of the factors from the denominator?

Answer 16

In this case, no.
But even if you could, 0/0 is undefined (IT IS NOT EQUAL TO 1!), so you could not cancel them anyway

Answer 17

Okay, great! Thanks so much - just the answer I was looking for! :)

Answer 18

:-) Good luck