Question

Find the domain of f/g.

A.
B.
C.
D.
​

Answer 1

C. All real numbers except
`(3)/(4)`.

Explanation:

The domain of all polynomials is the set of all real numbers, whereas the domain of rational-polynomic functions are the set of all numbers expect for those values of
`x` so that denominator becomes zero. Hence, we need to solve for
`x` from following expression:

`4\cdot x - 3 = 0`

`4\cdot x = 3`

`x = (3)/(4)`

The domain of the function is all real numbers except
`(3)/(4)`. (Right answer: C)