What is the domain of the function

Question

f(x) = x+1 / 2x - 1?

Answer 1

  f(x) =  x+1 / 2x - 1

 To find domain, ignore numerator and equal denominator to the zero

 2x - 1 = 0

 Add 1 to each side

  2x = 1

 Multiply each side by 2

 x = 1/2

For  x =1/2  the denominator equal to zero

So, the domain will be all other x values not equal to 1/2   

x ≠ 1/2

Answer 2

The function is f(x) = (x + 1) /(2x - 1).

Domain :

Domain of a function f(x) is set of those values of x which will make the function mathematically legal or correct..certain operations like division by zero , square root of a negative number do not exist in real maths.

1. Domain excludes x - values that result in division by zero.

2. Domain excludes x - values that result in even roots of negative numbers.

Equate the denominator to zero.

2x - 1 = 0

Add 1 to each side.

2x - 1 + 1 = 0 + 1

2x  = 1

Diide each side by 2.

2x /2 = 1/2

x = 1/2

The denominator is zero, when x = 1/2.

Domain excludes x - values that result in division by zero.

The function has an implied domain that consists of all real x other than x = 1/2.These values are excluded from the domain because division by zero is undefined.

Domain : {x Є R : x ≠ 1/2}.