The given functions are
f(x) = 5x + 3
g(x) = 3x^2
To find f(g(- 2)), the first step is to find g(- 2). Tp do this, we would substitute
x = - 2 into g(x) = 3x^2. We have
g(- 2) = 3(- 2)^2 = 3 * 4
g(- 2) = 12
To find f(g(- 2)), we would substitute x = 12 into f(x) = 5x + 3. It becomes
f(g(- 2)) = 5 * 12 + 3
f(g(- 2)) = 60 + 3
f(g(- 2)) = 63