Final answer:
To find (gºf)(x), substitute f(x) into g(x) and simplify the expression. The correct answer is -6x - 4.
Step-by-step explanation:
To find (gºf)(x), we need to perform the composition of functions g and f. The composition of functions is denoted by (g º f)(x) and is evaluated by substituting the function g(x) into the function f(x). So, (g º f)(x) = g(f(x)).
Substituting f(x) = -3x - 1 into g(x) = 2x - 5, we get (g º f)(x) = g(-3x - 1).
Now, we substitute -3x - 1 into g(x) = 2x - 5: (g º f)(x) = 2(-3x - 1) - 5 = -6x - 2 - 5 = -6x - 7.
Therefore, the correct answer is D. -6x - 4.