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what's the question?

if f(x) = X squared does it follow that f(a+1) = (a+1) squared

True :D

yes

explain why

replace x with (a+1).

How do you evaluate the expresssion f(g(4)) when f(x)= 3x and g(x)= x-2

f(g(4))=3(4-2)=6

no

note:
if f(x)=3x, g(x)=x-2,
then f(g(x))=3(g(x))=3(x-2)

f(g(x)) :substitute g(x) in x of f(x).

simply sub anything inside x as long it's in the domain.

yes

So what did you get ?
g(4)=

4-2=g(x)

So under the same values of f(x) and g(x), g(f(4)) is equal to g(3(x)) which is equal to
x-2(3x)?