Looking at the given function,
g(x) = 3f(5x + 7) + 1
For 4g(- 2), the first step is to substitute x = 2 into g(x)
Substituting x = - 2 into g(x), it becomes
g(- 2) = 3f(5(- 2) + 7) + 1
g(- 2) = 3f(- 10 + 7) + 1
g(- 2) = 3f(- 3) + 1
From the domain and range of f, we have it that
f(- 3) = 4
Therefore,
g(- 2) = 3 * 4 + 1 = 12 + 1 = 13
Finally,
4g(- 2) = 4 * 13 = 56