Use the sum of cubes factoring rule
to transform the left hand side into the right hand side.
Throughout the entire process, the right hand side stayed the same.
On the last step, I used the pythagorean identity.
This is a difference of perfect squares which is of the form:
(a^2-b^2)
And which always factors to:
(a-b)(a+b)
In this case:
(5x-8)(5x+8)
Given:
The given function is:
To find:
The value of x that is in the domain.
Solution:
Domain is the set of input values.
We have,
We know that the square root is defined for non negative values. So,
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, is in the domain of the given function.
Therefore, the correct option is A.
Answer:14
Step-by-step explanation: