If f (x) =2x+2 and g (x) =³, what is (g°f) (2)? enter the correct answer

∴ (g ο f)(2) = 216  

Step-by-step explanation:

* Lets revise at first the meaning of f of g (composite function)

- A composite function is a function that depends on another function

- A composite function is created when one function is substituted into

 another function  

- Example:

# (g ο f)(x) is the composite function that is formed when f(x) is  

 substituted for x in g(x).

* Now lets solve the problem

∵ f(x) = 2x + 2

∵ g(x) = x³

- We need to find (g ο f)(2), so we will substitute x by f(x) in g(x)

∴ (g ο f)(x) = (2x + 2)³

- Now substitute x by 2

∴ (g ο f)(2) = [2(2) + 2]³ = [4 + 2]³ = [6]³ = 216

* * (g ο f)(2) = 216  

# Another way

- We can find f(2) at first and then substitute the x by the answer

 in g(x)

∵ f(x) = 2x + 2

∴ f(2) = 2(2) + 2 = 4 + 2 = 6

∵ g(x) = x³

∴ g(6) = (6)³ = 216

* (g ο f)(2) = 216  

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this