Answer:
(f o g)(4) = 45
Step-by-step explanation:
We have given two functions and we have to find their composition.
f(x) = 4x+1 , g(x) = x²-5
Firstly, we have to find (f o g)(x)
Then, we have to find (f o g)(x).
(f o g)(x) = f(g(x))
Putting the given values of functions in above formula , we have
(f o g)(x) = f(x²-5)
(f o g)(x) = 4(x²-5)+1
simplifying
(f o g)(x) = 4x²-20+1
adding like terms, we have
(f o g)(x) = 4x²-19
Putting x = 4 to above equation , we have
(f o g)(4) = 4(4)²-19
(f o g)(4) = 4(16)-19
(f o g)(4) = 64-19
(f o g)(4) = 45 which is the answer.
