Answer:
C. All real numbers except [tex]\frac{3}{4}[/tex].
Step-by-step 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 [tex]x[/tex] so that denominator becomes zero. Hence, we need to solve for [tex]x[/tex] from following expression:
[tex]4\cdot x - 3 = 0[/tex]
[tex]4\cdot x = 3[/tex]
[tex]x = \frac{3}{4}[/tex]
The domain of the function is all real numbers except [tex]\frac{3}{4}[/tex]. (Right answer: C)
