Question

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

Answer 1

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:

`g(x)\\e\text{ 0}`

that is:

`\begin{gathered} 4x-3\text{ }\\e\text{ 0} \\ 4x\\e0+3 \\ 4x\\e3 \\ x\\e(3)/(4) \end{gathered}`

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