The value of the function is (g*f)(-1) =1296
To determine the composite function, we have to substitute the value of one function into another.
We have that the functions are;
f(x)=-5x-1
g(x)= x⁴
Now, to determine (g*f)(-1), we have;
(g*f) = (5x-1)⁴
substitute the value of x as -1, we get;
(g*f)(-1) = (5(-1) -1)⁴
expand the bracket, we get;
(g*f)(-1) = (-6)⁴
find the value, we get;
(g*f)(-1) =1296