Answer:
(f o g)(x) = 24x - 1
Step-by-step explanation:
We know that f(x) = 6x + 5 and g(x) = 4x - 1
(f o g)(x) is equal to f(g(x), so we need to replce x by g(x) on the equation of f(x) as follows
f(x) = 6x + 5
f(g(x)) = 6(g(x)) + 5
Since g(x) = 4x - 1, we get;
f(g(x)) = 6(4x - 1) + 5
f(g(x)) = 6(4x) - 6(1) + 5
f(g(x)) = 24x - 6 + 5
f(g(x)) = 24x - 1
Therefore, the answer is
(f o g)(x) = 24x - 1