Precalculus problem

Question

Given that f(x)=5x+1 and g(x)=x^3, find (fog)(-1).

(fog)(-1)= ??

Answer 1

That is one notation for a "nested function". It means: "Apply the g function to the independent variable, then apply the function to the result."

The other common notation is f(g(x))

g(x) = x^3, so use this in place of x in f(x)

f(x) = 5 * (x^3) + 1

At x = - 1

f(g(x)) = -5 + 1 = -4