Question

2. f(x)=4x+1 and ​g(x)=x2−4x−5​, find ​(g◦​f)(4​).

Answer 1

(g · f)(4) = 45

Explanation:

f(x)=4x+1

g(x)=x² - 4x- 5

(g · f)(x) = 4(x² - 5) + 1

(g · f)(4) = 4(4² - 5) + 1

Following pemdas

(g · f)(4) = 4(16 - 5) + 1

(g · f)(4) = 4(11) + 1

(g · f)(4) = 44 + 1

(g · f)(4) = 45