Answer:
C. All real numbers except 3/4
Step-by-step explanation:
We are given
[tex]f(x)=3x^2+x^4+2[/tex]
[tex]g(x)=4x-3[/tex]
Firstly, we will find f/g
[tex]\frac{f}{g}=\frac{3x^2+x^4+2}{4x-3}[/tex]
Domain:
We know that domain is all possible values of x for which any function is defined
so, we know that denominator of any function can not be zero
so, firstly we set denominator =0
and then we can solve for x
[tex]4x-3=0[/tex]
Add both sides by 3
[tex]4x-3+3=0+3[/tex]
[tex]4x=3[/tex]
[tex]x=\frac{3}{4}[/tex]
so, this function is defined for all values of x except at
[tex]x=\frac{3}{4}[/tex]
Domain will be
All real numbers except 3/4
