Question

find the domain of f(x)=1/x-1​

Answer 1

This is a Rational Function.

Rational Function is undefined when denominator becomes zero.

⇒  f(x) is undefined when denominator   x  -  1  =  0

⇒  f(x) is undefined when denominator  x  =   1

⇒ This function is defined for all real numbers except  1 .

⇒  Domain  =  R  −  {  1 }

R  is set of all real numbers.

Answer 2

Step-by-step explanation:

Domain is all reals except

−

1

(Can't divide by

0

)

Range:

if

y

=

1

x

+

1

, then

y

(

x

+

1

)

=

1

son

x

y

+

y

=

1

and

x

y

=

1

−

y

,

finally, then

x

=

1

−

y

y

y

can take any value except

0

.

Range is all reals except

0

.

graph{y=1/(x+1) [-9.74, 8.03, -3.8, 5.09]}