Not sure if that's a multiplication or a composition. It doesn't matter. Both f and g have a domain of all real numbers. The domain of
is the same as the domain of g(x), all real numbers
Answer: all real numbers
Addition,subtraction,and multiplication
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
The problem simplified is 36√ 2abc
Find slope by calculating rise (change in y) over run (change in x).
1-(-3)/-4-0
4/-4
-1
Final answer: A
