Find the requested function and state its domain:

f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain.

So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure about.

To find the function f/g, we need to divide the function f(x) by g(x).

So, f/g is given by: f(x)/g(x) = (4x + 3)/(4x - 5)

To simplify this expression, we can factor out a common factor of 4 in the numerator:

f(x)/g(x) = (4(x + 3/4))/(4x - 5)

The 4 in the numerator and denominator cancel out, leaving us with:

f(x)/g(x) = (x + 3/4)/(x - 5/4)

Now, to determine the domain of f/g, we need to identify any restrictions on the value of x that would result in division by zero.

In this case, the denominator (x - 5/4) should not be equal to zero. Thus, we cannot have x = 5/4.

Therefore, the domain of f/g is all real numbers except x = 5/4. In interval notation, the domain can be represented as (-∞, 5/4) ∪ (5/4, +∞).