Question

find all real values of x such that f(x)=0
f(x)=3x-4/2x

Answer 1

Ok so this is a tricky question. First we have to know that when a denominator is equal to zero, it is undefined.
But when the numerator is equal to zero, the function is actually 0.

So f(x) = 0 when the numerator (top) is zero, but undefined when the denominator is zero.

Are you with me so far?

Answer 2

@abby_hn Let me know if you need help still. If not, just set your denominator to 0, solve for x and then that value is what cannot be used. That is the value making it undefined.

Then set numerator to zero to get the value that gives f(x) = 0.

That's it.