State the domain of the follwoing g(x)=5x / x ^2+25 and F(x)= rt x+6?

Question

State the domain of the follwoing g(x)=5x / x ^2+25 and F(x)= rt x+6?

Answer 1

You should use parentheses online to clear up confusion, but I think you defined g(x) as the following:

g(x)=(5x/x^2)+25

Correct?

The domain is all real numbers EXCEPT where the function is undefined. For rational functions, this means where the denominator is 0. So what value of x makes x^2 0? Only 0.

So the domain of g(x) = {R|x≠0} (where R=all real numbers)

For F(x), there's NO value of x that can make that function undefined, so its domain is all real numbers, or R.

-IMP ;) :)