Answer:
(g o f)(5) = 47
Step-by-step explanation:
We are given a composite function:
g(x) = 4x + 3
f(x) = 3x - 4
We are supposed to find (g o f)(5), which really means g( f(x) ). So, we put the function of f(x) for every x in g(x), like this:
g(x) = 4x + 3
g( f(x) ) = 4(3x - 4) + 3
g( f(x) ) = 12x - 16 + 3
g( f(x) ) = 12x - 13
Now, we also need to evaluate for x = 5, like this:
g( f(5) ) = 12(5) - 13
g( f(5) ) = 47
