Question

Which statement best describes the domain of the function f(x)=3x/4x^2-4

All real numbers

All nonzero numbers

All real numbers except x=3/4

All real numbers except x=1 and x=-1

Answer 1

The correct answer is D. All real numbers except x = 1 and x = -1

Explanation:

Domain : It consists of all the set values for which any function f(x) is defined or for which value the given function f(x) exists

The function f(x) is given to be :

`f(x)=(3x)/(4x^2-4)`

The domain is all real numbers except the singularities of the denominator.

⇒ 4x² - 4 = 0

⇒ 4x² = 4

⇒ x² = 1

⇒ x = ±1

Thus, The correct answer is D. All real numbers except x = 1 and x = -1