To find the value of f(g(2)), we first need to evaluate g(2) and then substitute that result into f.
Starting with g(x):
g(x) = 5x + 4
Now plug in x = 2:
g(2) = 5(2) + 4 = 10 + 4 = 14
Now that we have g(2) = 14, we can find f(g(2)), which is f(14).
Now to apply this to f(x):
f(x) = 8 – 10x
So we need to find f(14):
f(14) = 8 – 10(14) = 8 – 140 = -132
Therefore, the value of f(g(2)) is -132.