Question

x^2-25/x-5, simplified its x+5, my question are what are the restrictions on it???? I really need help here

Answer 1

its either 5 or -5

Answer 2

what would happen if x=5,

Answer 3

it would be 10

Answer 4

x2-25 = (x+5) (x-5) ok?

Answer 5

\[\frac{x^2-25}{x-5}\rightarrow\frac{5^2-25}{5-5}\]

Answer 6

(x+5)(x-5) / (x-5) = (x+5)

Answer 7

x cant equal 0 and if x = -5 it would be 0 so the restriction is -5?

Answer 8

\[\frac{x^2-25}{x-5}\rightarrow\frac{5^2-25}{5-5}\rightarrow\frac 00\]

Answer 9

anything/0= undefined

Answer 10

so its 5

Answer 11

for x=-5\[\frac{x^2-25}{x-5}\rightarrow\frac{(-5)^2-25}{-5-5}\rightarrow\frac{25-25}{-10}=\frac0{-10}=0\]

Answer 12

so I am confused is it 5 or not?

Answer 13

here x can not be equal to 5, else it will take indeterminant form (0/0) ... and for rest of the values it simplifies to x+5

Answer 14

if you try to plot \(y(x)=\frac00\) on a graph it dosent make a lot of sense, you have en-counted a hole in the function