Question

Simplify. Identify any x-values for which the expression is undefined.
3x+4/3x^2+x−4
Answers:
the expression is undefined for x = 3/4 and x = -1/2
3/x+1
the expression is undefined for x = -4/3 and x = 1
1/x−1
the expression is undefined for x = 3/4 and x = -1/2
1/x+3
the expression is undefined for x = -4/3 and x = 1
x−1

Answer 1

First, I assume you mean:

(3x+4)/(3x^2+x−4)

which is the same as

\(\dfrac{3x+4}{3x^2+x−4}\)

What you wrote above is really

\(3x+\dfrac{4}{3x^2}+x−4\).

Is my assumption correct?

Answer 2

Second, you write an unclear question and then sign off.

Answer 3

Why are you wasting other people's time?

Answer 4

If you decide to come back, here is what you need to do.
I assume my assumption is correct.
The numerator is factored.
Factor the trinomial in the denominator.
Then divide the numerator and denominator by a common factor.
This is what is commonly referred to as canceling common factors.
Now look at the two factors of the denominator before you simplified the fraction.
Set each one equal to zero and solve for x.
Those are the restrictions on x.