Question

Question #a877a

Answer 1

`y inRR,y!=0`

Explanation:

`f(x)=1/(x^2+x-12)" expanding factors in denominator"`

`"divide terms on numerator/denominator by the highest"`
`"power of x that is "x^2`

`f(x)=(1/x^2)/(x^2/x^2+x/x^2-12/x^2)=(1/x^2)/(1+1/x-12/x^2)`

`"as "xto+-oo,f(x)to0/(1+0-0)`

`rArry=0larrcolor(red)"is an excluded value"`

`"range is "y inRR,y!=0`

`(-oo,0)uu(0,+oo)larrcolor(blue)"in interval notation"`
graph{1/(x^2+x-12) [-10, 10, -5, 5]}