Question

What would be the restrictions to this

x+1/5x-4?

Answer 1

what will make the denominator go to zero?

5x-4 = 0

solve for x

Answer 2

@JuanitaM Does it matter if the numerator is zero or not?

Answer 3

4/5 will make x =0 but should I also find what number makes numerator zerp sp x does not equal -1

Answer 4

not for restrictions normally, but I have seen it if they ask for range...

no just stick with denominator.

Answer 5

so 4/5 right?

Answer 6

and also I have another question

x-3/x+2

What would be the restriction for this?

Answer 7

My text book says -2 and 1 but I am confused why?

Answer 8

yes 4/5

Answer 9

set denominator to zero and solve for x...the answer is right

Answer 10

but how 1?

Answer 11

x + 2 = 0
x + 2 -2 = 0 -2
x = -2

Answer 12

yea I got that but i did not get 1

Answer 13

the textbook is wrong for that right?

Answer 14

is the problem written like that?

Answer 15

But then how can 1 be a restriction?

Answer 16

ahh...different than what you typed. yes you must set both to equal zero in the denominator

Answer 17

remember, restrictions are from ORIGINIAL problem not your simplified one

Answer 18

hmm, but in some case we can simplify right?

Answer 19

you must simplify always but restrictions are ONLY based on original problem

Answer 20

that makes sense

Answer 21

thanks!

Answer 22

Great!