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Find the domain of AO) =37+X* + 2 gx) = 4x-3 all real numbers all real numbers except 4 b. 6 d (-3, 4) U [4, -3) all real numbers except 3 Please select the best answer from the choices provided OB Ос Save and Exit Submit Mark this and return

Find the domain of AO 37X 2 gx 4x3 all real numbers all real numbers except 4 b 6 d 3 4 U 4 3 all real numbers except 3 Please select the best answer from the c class=

Respuesta :

Given the function

f(x) = 3x^2+x^4+12

g(x) = 4x -3

we are to find the domain of the function f(x)/g(x). The domain is the range of values for which the function f(x)/g(x) exists.

For the function to exist, then:

[tex]g(x)\ne\text{ 0}[/tex]

that is:

[tex]\begin{gathered} 4x-3\text{ }\ne\text{ 0} \\ 4x\ne0+3 \\ 4x\ne3 \\ x\ne\frac{3}{4} \end{gathered}[/tex]

This means that the function has domain om all real number x except 3/4. Option C is correct

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