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.