Question

find the value where this function is discontinous please

f(x)= (2x + 1)/(x^2 + x - 2)

Answer 1

Hint: Factor the denominator

Answer 2

(x-2)(x+1)?

Answer 3

wait

Answer 4

(x+2)(x-1)

Answer 5

ok what do i do next then

Answer 6

What happens if you have zero in the denominator?

Answer 7

its discontinous?

Answer 8

Not just that, but we can't have zero in the denominator, can we?

Answer 9

no we cant

Answer 10

Okay, so set the denominator equal to zero and solve for x. That will tell you what values cannot equal zero and ultimately where the function would be discontinuous.

Answer 11

x+2=0
x-1=0

so -2 and 1?

Answer 12

Bingo

Answer 13

oh ok i have another one similar
(x-1)/(x^2 + 2x - 3)

when i factor the denominator
its (x+3) (x-1)

so the ans are -3 and 1 right?

Answer 14

Looks like you've got this figured out