Question

How do you find the domain of `f(x)=x/(6x^2+13x-5)`?

Answer 1

Domain (value of x) is any real value except `x = 1/3 or x = -2/5`

Explanation:

Domain is the value of x in the function. Here the denomintor must not be zero. `6x^2+13x-5 !=0 or 6x^2+15x-2x-5 != 0 or 3x(2x+5)-1(2x+5) !=0 or (3x-1)(2x+5) !=0 or x !=1/3 and x !=-5/2 :.`Domain (value of x) is any real value except `x = 1/3 or x = -2/5` [Ans]