Answer:
0 x-intercepts
Explanation:
In order to find the x-intercepts ,you need to solve this equation
x² + 4x + 5 = 0 for x and see how many solutions you get:
x² + 4x + 5 = 0
∆ = 4² - 4×1×5 = 16 - 20 = -4
since ∆ < 0 Then the equation has no solution then our Function has none x-intercepts.
check the graph of the function f(x) = x² + 4x + 5 (below)