Question

Find the domain of the function.
x - 5
f(x) =
Vx

Answer 1

X-5

F(x) =F-5

V-5

Explanation:

You have to substitute only the x into - 5, therefore the domain is - 5

Answer 2

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

In this case, the function f(x) = (x - 5) / √x.

To determine the domain, we need to consider any restrictions or limitations on the input values that would make the function undefined.

For the given function, the square root (√x) is present in the denominator. To avoid division by zero, the denominator cannot be zero. Therefore, we need to find the values of x that make the denominator equal to zero.

√x = 0

Squaring both sides, we get:

x = 0

So, the value x = 0 is not in the domain of the function.

Therefore, the domain of the function is all real numbers except x = 0. In interval notation, the domain can be expressed as (-∞, 0) U (0, ∞).

Explanation: