Let f (x)= (x^2 + 3x - 4) and g(x)= (x + 4)

a. Find f*g and state the domain

b. Find f/g and state the domain

1 answer

the domain of all polynomials is (-∞,+∞)

for rational functions, it is the same, except where the denominator is zero.

f*g = (x^2+3x-4)(x+4)
f/g = (x^2+3x-4)/(x+4)