Question

f(x)=x÷3x-4,find domain​

Answer 1

Answer:

Domain of the given function is { R } - { 4 / 3 }.

Step-by-step explanation:

Given function :

• f( x ) = $\dfrac{x}{3x-4}$

For f(x) to be a real number, numeric value of the denominator must not be 0.

Which means :

= > 3x - 4 ≠ 0

= > 3x ≠ 4

= > x ≠ 4 / 3

Thus x can be any real number other than 4 / 3.

Therefore, domain of the given function is { R } - { 4 / 3 }. { R refers to all the real numbers }