Question

find domain and range of the function x/x+5 ​

Answer 1

Answer:

Since the function f(x) = x/(x+5) is definable for all values of x except -5.

So,

Domain of f(x) = R-{-5}

Let y = x/(x+5)

yx + 5y =x

 5y = x-yx

  x = 5y/(1-y)

Here, x is definable for all values of y except 1.

So,

Range of f(x) = R-{1}

Answer 2

f(x)=R-{-5}

let y=x/(x+5)

yx+5y=x

5y=x-yx

x=5y/(1-y)

so, range is fx =R-(1)

here not taking value of y is 1 , if we take then this question is undefine so

range is R-(1)