Question 669151
Starting with
f(x) = 4x -2
{{{g(x) = x^2 +2}}}
...
Find g(2)
(g(2)) = 2^2 + 2
= 4 + 2
g(2)= {{{highlight_green(6)}}}
...
EDITED TO ADDRESS OTHER QUESTIONS
f(g(1)) = 
start with g(1)
g(1) = 1^2 + 2 
= 3
...
f(g(1) = 4(___) - 2
=4(3) - 2
= 12 - 2
f(g(1))= 10
...
g(f(1)) = (___)^2 + 2
start with f(1)
f(1) = 4(1) - 2
= 4 - 2
= 2
...
g(f(1)) = (___)^2 + 2
= 2^2 + 2
= 4 + 2
g(f(1)) = 6
...
f(g(x)) = 4(____) - 2
insert {{{highlight(g(x))}}}
={{{4(highlight(x^2+2)) - 2}}}
Distribute the 4
=4x^2 + 8 - 2
f(g(x))=4x^2 + 6
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