Question

6. Find the domain of the function.6x x−2The domain is .(Type your answer in interval notation. )

Answer 1

(2, ∞)

Step-by-step explanation

The domain of a function is the set of all x-values for which the function exists.

In this case, this function is rational. The numerator is a polynomial, so it has no restrictions for the values of x.

The denominator, on the other hand, is a radical function and as such function, it has the restriction that the value under the radical must be positive or zero. However, for this function, it cannot be zero because then we would be dividing a value by zero.

So, the restriction we have is,

`x-2>0`

Solving for x,

`x>2`

Hence, the domain of f(x) is the set x . In interval notation this is (2, ∞).