I was wondering why my previous post was deleted (I attached the same picture below).
I spent a long time drawing and labeling a diagram as well as writing out a detailed formulaic explanation.
Rewrite g(x) as x-1
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4
and then substitute this result for x in f(x) = x^2 - 3x + 3:
f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.
At this point we can substitute the value 5 for x:
f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3
= 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1
Therefore, f(g(5)) = 1.
Answer:
2nd option is the answer
Step-by-step explanation: