Question

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If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.

Answer 1

3x+4

Explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

Answer 2

Explanation:

f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).

f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2

f(g(x)) = 3(x + 2) - 2 Now remove the brackets

f(g(x)) = 3x + 6 - 2

f(g(x)) = 3x + 4

I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.