Question

Given that f(x) = 4x − 3 and g(x) = quantity of 2x minus 1, divided by 3, solve for g(f(2)).

Answer 1

First of all, we know that this problem is Function Composition Notation in form of f(g(x)), so here is the full answer:
f(x)=4x-3
g(x)=(2x-1)/3
Then,
f(x)=4x-3
f(2)=4(2)-3
f(2)=8-3
f(2)=5
In conclusion,
g(x)=(2x-1)/3
g(5)=(2×5-1)/3
g(5)=(10-1)/3
g(5)=9/3
g(5)=3. As a result, g(f(2))=3. Hope it help!

Answer 2

when x =2
then f(2)=4*2 - 3= 5
when x =f(2) =5
then g(5)=(2*5 -1)/3 = 9/3=3
then g(f(2))=3