Find [f • g](x) for f(x) = x 1 and g(x) = 3x - 4?
I'm confused! I keep on coming up with 3x-5, but it says the answer is 3x-3. a step-by-step explanation would be appreciated, thanks!
Update:oh, i get it now! sorry i was so stupid :)
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It is easier to understand when you write [fog](x) in the form
f(g(x)).
In the second form, substitute g(x) inside
f(g(x)) = f(3x-4)... now apply f ... f just add 1 to the entry, so:
f(3x-4) = 3x-4 + 1 = 3x-3
f(x) = x + 1, g(x) = 3x - 4, so (f • g)(x) is just taking the g(x) expression and plugging that into f(x) as "x":
f(g(x)) = (3x-4) + 1
f(g(x)) = 3x-3