Question

What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3

Answer 1

Answer:

Domain = R - {3/2}

Step-by-step explanation:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0

The given function is :

$f(x) = \frac{x-5}{2x-3}$

We need to find the zeros of the denominator

∴ 2x - 3 = 0    ⇒ add 3 to both sides

∴ 2x = 3          ⇒ divide both side by 2

∴ x = 3/2        

The domain will be all real number except the zeros of the denominator.

So, Domain = R - {3/2}

Also, see the attached figure that represents the given function.