Question

Find the domain of f/g

Answer 1

Answer:

C. All real numbers except 3/4

Step-by-step explanation:

We are given

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

$g(x)=4x-3$

Firstly, we will find f/g

$\frac{f}{g}=\frac{3x^2+x^4+2}{4x-3}$

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

$4x-3=0$

Add both sides by 3

$4x-3+3=0+3$

$4x=3$

$x=\frac{3}{4}$

so, this function is defined for all values of x except at

$x=\frac{3}{4}$

Domain will be

All real numbers except 3/4