Question

Which value of x is in the domain of f(t) = squared x - 7

Answer 1

Given:

The given function is:

$f(x)=\sqrt{x-7}$

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

$f(x)=\sqrt{x-7}$

We know that the square root is defined for non negative values. So,

$x-7\geq 0$

$x\geq 0+7$

$x\geq 7$

Thus, the domain of the given function is all real number that are greater than or equal to 7.

In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, $x=8$ is in the domain of the given function.

Therefore, the correct option is A.