Question

what is the x intercept of:

Answer 1

\[(x^2+8)/(x^2-5x+6)\]

Answer 2

x intercept of this function doesn't exist. Because nominator is never 0

Answer 3

how do you know that the denominator will be 0 in this equation ?

Answer 4

denomnator can't be 0, never!
y=(x^ 2 +8)/(x^2 −5x+6)
this is a function whos x-intercept you looking for. The graph will cross x axis when y=0, right? So solve this for y=0 and find x values that make that y be equal 0. As you will notice there is no real number that makes x^ 2 +8=0 , so there is no x-intercept

Answer 5

oh got it. thank you :)

Answer 6

if denominator is 0 the world ends