Answer:
f(g(1)) = 7
Step-by-step explanation:
To find f(g(1)), we first need to find g(1). So replacing x by 1 on the equation of g(x), we get:
g(x) = 4x - 8
g(1) = 4(1) - 8
g(1) = 4 - 8
g(1) = - 4
Now, f(g(1)) = f(-4). So, replacing x by -4 on the equation of g(x)
f(x) = x² + 6x + 15
f(-4) = (-4)² + 6(-4) + 15
f(-4) = 16 - 24 + 15
f(-4) = 7
Therefore, the value of f(g(1)) is 7.