SOLUTION: State the domain of the following: {{{f(x)= sqrt(x-8)}}}

Algebra ->  Functions -> SOLUTION: State the domain of the following: {{{f(x)= sqrt(x-8)}}}       Log On


   



Question 116795: State the domain of the following:
f%28x%29=+sqrt%28x-8%29

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
f%28x%29=+sqrt%28x-8%29
.
to find the domain of x, you recognize that you can't get a real answer if you take the
square root of a negative number. There is no real number that can be multiplied by itself to
result in a negative number because of the algebraic rule that says if two numbers have the same
sign, their product is positive.
.
This tells us that (x - 8) must be equal to or greater than zero so that you are taking
the square root of 0 or of positive numbers.
.
In equation form we can write:
.
x+-+8+%3E=+0
.
Solve for x by adding 8 to both sides of this inequality to get:
.
x+%3E=+8
.
This tells you that the domain of x is all real numbers equal to or greater than 8.
.
Hope this helps you to understand the problem.
.