Answer:
(g o f)(-10) = -11.
Explanation:
To find the composition (g o f)(x), we need to substitute the function f(x) into g(x) and evaluate it at a specific value.
Given:
f(x) = (x - 2) / 6
g(x) = 8x + 5
To find (g o f)(-10), we substitute f(x) into g(x) and evaluate it at x = -10.
(g o f)(-10) = g(f(-10))
First, let's find f(-10):
f(-10) = (-10 - 2) / 6
= -12 / 6
= -2
Now, substitute f(-10) = -2 into g(x):
g(-2) = 8(-2) + 5
= -16 + 5
= -11
Therefore, (g o f)(-10) = -11.