Question

in each part, compare the natural domains of f and g

a. f(x) = ((x^2) + x) / (x+1)


b. f (x) = ((x√ x) + √ x) / (x+1)

Answer 1

Please explain me how to do it. I am totally lost

Answer 2

a) look at the denominator (the divisor)
x cannot be = -1 because you do not want to divide by zero

look at the numerator x^2 + x can be factored as x(x + 1) if x = -1 then you would be multiplying by zero
anything by zero = zero

Answer 3

where is g in this problem?

Answer 4

ohh yeah i firgot

in each part, compare the natural domains of f and g

a. f(x) = ((x^2) + x) / (x+1) ; g(x) = x


b. f (x) = ((x√ x) + √ x) / (x+1) ; g(x) = √x