Answer :
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