Problemas
Find the domain of the function. f(s)=(sqrt (s-2))/(s-4) all real numbers such that sgeqslant 4 all real numbers a such that sleqslant 4 all real numbers except s=2 and 6=4 all real numbers such that 6leqslant 4 except s=2 all real numbers a such that sgeqslant 2 except s=4
Roztwór
Miriam
maestro · Tutor durante 5 años
4.7
(198 Votos)
Respuesta
To find the domain of the function
, we need to consider the restrictions on the variable
.The square root function
is defined for all real numbers
such that
, which means
.The denominator
cannot be equal to zero, as division by zero is undefined. Therefore,
.Combining these two conditions, the domain of the function
is all real numbers
such that
except
.Therefore, the correct answer is: all real numbers such that
except
.