Question

Find (g∘k)(1)for g(x)=11x2−4x+6and k(x)=4x−11. (g∘k)(1)=

Answer 1

The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:

$k(1)=4(1)-11=4-11=-7$

Now, find g(k(1)), it means, g(-7):

$g(-7)=11(-7)^2-4(-7)+6=573$

(g°k)(1)=573.