Answered

For what values of x is the rational expression below undefined?


check all that apply


x-4/3x^2-75


A.5

B.4

C.3

D.-3

E.-4

F.-5

Verified Answer :

caylus

Hello,

A fraction is not defined if its denominator is null.

3x²-75=0
==>3(x²-25)=0
==>(x+5)(x-5)=0
==>x=-5 or x=5

SociometricStar

Answer:

Rational expression is undefined for x = -5 and x=5

A and F are correct options.

Step-by-step explanation:

The ration function is \(\frac{x-4}{3x^2-75}\)

A rational function is undefined when the denominator is zero.

Hence, let us find the value where the expression is undefined by equating denominator equals zero.

\(3x^2-75=0\\\\3x^2=75\\\\x^2=25\\\\x=\pm5\)

Hence, the rational expression is undefined for x = -5 and x=5

Thus, A and F are correct options.

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