If f (x) = 4x+7 and g (x) = x^3, what is (g°f) (-1)

The answer is (g°f) (-1) = 27

Step-by-step explanation:

* (g°f) (1) ⇒ means make the domain of g is the range of f

- At first find the value of f (-1)

- Take the answer and substitute it as the value of x for g

- So the range of f is the domain of g

∵ f (x) = 4x + 7

∵ The domain of f = - 1 ⇒ x is the domain

∴ f (-1) = 4 (-1) + 7 = - 4 + 7 = 3 ⇒ f (-1) is the range

∵ g (x) = x³

∵ x = f (-1) = 3 ⇒ the domain of g

∴ g (3) = 3³ = 27 ⇒ the range of g

* (g°f) (-1) = 27