If f(x)=x/(14 x + 11), then the domain of f includes all real numbers except

-11/14

where the denominator becomes zero.

To find the domain of the function f(x) = x/(14x + 11), we need to determine which values of x will make the denominator zero. Since division by zero is undefined, those values cannot be in the domain.

To find the x-values that make the denominator zero, we set the denominator equal to zero and solve for x:

14x + 11 = 0

Subtracting 11 from both sides:

14x = -11

Dividing by 14:

x = -11/14

Therefore, the domain of f(x) includes all real numbers except x = -11/14.

To find the domain of a function, we need to determine any values for which the function is not defined.

In this case, we have the function f(x) = x/(14x + 11). The function is defined for all real numbers except when the denominator (14x + 11) equals zero.

To find the value of x that makes the denominator zero, we solve the equation 14x + 11 = 0.

Subtracting 11 from both sides gives 14x = -11. Dividing both sides by 14, we find that x = -11/14.

Therefore, the domain of f(x) includes all real numbers except x = -11/14.