Question

Find the domain of f(x) = (x - 6)^2.

a) All real numbers
b) x ≠ 6
c) x ≥ 6
d) x ≤ 6

Answer 1

The domain of the function f(x) = (x - 6)^2 is all real numbers since there are no restrictions on x that would prevent the function from providing a real number output. correct answer is a) All real numbers.

Step-by-step explanation:

The domain of a function refers to all the possible values of x for which the function is defined. In the case of the function f(x) = (x - 6)^2, there are no restrictions on the values that x can take because x can be any real number and the function will still produce a real number as output.

No matter what real number you plug into f(x), you will square it after subtracting 6, which will always yield a valid result since the square of any real number is defined. Therefore, the correct answer is a) All real numbers.