Given that f(x) = x2 + 2x + 3 and g(x) = quantity of x plus four, over three, solve for f(g(x)) when x = 2. 2 5 11 33

Basically sub g(x) for x in f(x)



we don't need to simplify


[tex]f(g(2)))=( \frac{6}{3})^2+2( \frac{6}{3})+3[/tex
[tex]f(g(2)))=(2)^2+2(2)+3[/tex
f(g(2))=4+4+3
f(g(2))=11
answer is 11

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

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