Question

What c{\sqrt{x} +8}{x-3}" alt="f(x)=\frac{\sqrt{x} +8}{x-3}" align="absmiddle" class="latex-formula">is the following domain

Answer 1

The domain in set builder and interval notation are ;

{ x| x≥0, x≠3 }

[0,3) U (3,∞)

The domain is all real numbers of x that make the expression defined.

What is the domain of the given function?

Given the function in the question;

f(x) = (√8 + 8 )/(x-3)

To determine the domain, first set the radicand in √x greater than or equal to zero to get  where the expression is defined.

x ≥ 0

Next, set the denominator (x-3) equal to 0 to get where the expression is defined.

x-3 = 0

x = 3

Hence, the domain in set builder and interval notation are ;

{ x| x≥0, x≠3 }

[0,3) U (3,∞)

The domain is all real numbers of x that make the expression defined.

Learn more about domain here: brainly.com/question/28135761

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