Final answer:
To evaluate the function f(x) = x^2 + 4x + 6 at different values, substitute the values into the function and simplify the expression.
Step-by-step explanation:
To evaluate the function f(x) = x^2 + 4x + 6, we substitute the given values:
a. f(-5) = (-5)^2 + 4(-5) + 6 = 25 - 20 + 6 = 11
b. f(x+9) = (x+9)^2 + 4(x+9) + 6 = x^2 + 18x + 81 + 4x + 36 + 6 = x^2 + 22x + 123
c. f(-x) = (-x)^2 + 4(-x) + 6 = x^2 - 4x + 6