Question

x+1/x-4

Answer 1

@jdoe0001

Answer 2

x is unequal to -4
x is unequal to -1
x is unequal to 1
x is unequal to 4

Answer 3

@jdoe0001 can you help me

Answer 4

hmmm what are you supposed to find?

Answer 5

State any restrictions on the variables.

Answer 6

@jdoe0001

Answer 7

let us ... say... set x = 4, let's see what happens to the fraction \(\bf \cfrac{x+1}{x-4}\qquad x={\color{brown}{ 4}}\qquad \cfrac{{\color{brown}{ 4}}+1}{{\color{brown}{ 4}}-4}\implies ?\) what do you think we get?

Answer 8

just 4

Answer 9

just 4? what would be our numerator and denominator?

Answer 10

well 4+1/4-4 isnt it 5/0

Answer 11

@jdoe0001

Answer 12

yeap

Answer 13

so its unequal to 5

Answer 14

5/0 meaning \(\bf 5 \div 0\) and that gives us no number, since any number divided by 0 is an "undefined value"

and that'd be a no go for a fraction, so "x" must not equal 4 or must be 4, otherwise it'd set the fraction to "undefined"

it can be anything else, just not a number that sets the denominator to 0, because that'd make the fraction undefined

Answer 15

thank you @jdoe0001

Answer 16

yw