Question

Find all the values of x that are not in the domain of h h(x) = x-3/x^2

Answer 1

To find the values of x that are not in the domain of the function h(x) = (x - 3) / x^2, we need to identify the values that would result in division by zero.

Since division by zero is undefined, we need to find the values of x that would make the denominator, x^2, equal to zero.

Setting the denominator equal to zero, we have:

x^2 = 0

Solving this equation, we find that x = 0 is the only value that makes the denominator zero.

Therefore, x = 0 is not in the domain of the function h(x) = (x - 3) / x^2.

In summary, x = 0 is the only value that is not in the domain of the function h(x) = (x - 3) / x^2.
Hope this helps, I think I found all the values.

Answer 2

The values that are not in the domain of the function h(x) = (x - 3) / x^2 are the values of x for which the denominator, x^2, equals zero, because division by zero is undefined in mathematics.

To find these values, set the denominator equal to zero and solve for x:

x^2 = 0

This equation has only one solution:

x = 0

So, the only value of x that is not in the domain of h(x) is x = 0. All other real numbers are in the domain of the function h(x).