melanierosales123
Answered

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Which value of x is in the domain of f(t) = squared x - 7
O A. x= 8
O B. x = 0
C. x= -3
O D. x = 6
SUBMIT

Sagot :

Given:

The given function is:

[tex]f(x)=\sqrt{x-7}[/tex]

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

[tex]f(x)=\sqrt{x-7}[/tex]

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

[tex]x-7\geq 0[/tex]

[tex]x\geq 0+7[/tex]

[tex]x\geq 7[/tex]

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, [tex]x=8[/tex] is in the domain of the given function.

Therefore, the correct option is A.

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