Given f (x) = - 8x+6 and g (x) = x^3 choose the expression for (F of G) (x)

(f o g) (x) is the composition of function where we substitute one function into other function.

So, (f o g) (x) = f (g (x))

The given functions are f (x) = - 8x+6 and g (x) = x³.

So, we need to plug in x³ for g (x) in f (x). Therefore,

(f o g) (x) = f (g (x))

= f (x³) Replace g (x) with x³.

= - 8x³ + 6 Replace x³ with x in f (x).

So, (f o g) (x) = - 8x³ + 6.