Question

Find all values of x that are NOT in the domain of h.
If there is more than one value, separate them with commas


h(x) = x + 1 / x^2 + 2y + 1

Answer 1

Answer:

if x= -1 then its is NOT in the domain of h.

Step-by-step explanation:

Domain is the set of values for which the function is defined.

we are given the function

$h(x) =\frac{x+1}{x^2 + 2x + 1}$

Solving the denominator by factorization

$h(x) =\frac{x+1}{x^2 + x+x + 1}\\h(x) =\frac{x+1}{x(x+1)+1(x + 1)}\\h(x) =\frac{x+1}{(x+1)(x+1)}\\h(x) =\frac{1}{(x+1)}$

So, if x = -1 then its is NOT in the domain of h.