Middle School

If [tex]f(x) = 2x + 3[/tex] and [tex]g(x) = x^2 + 1[/tex], find [tex]f(g(3))[/tex].

A. 23
B. 47
C. 82
D. 90

Answer :

to find f(g(3))

lets first find g(3)

to find g(3) we plug 3 for x in g(x)

So g(3) = [tex] 3^2 +1 [/tex] = 9+1 = 10

Now to find f(g(3)) we plug the value of g(3) which is 10

So

f(g(3)) = f(10) = 2(10) +3 = 20 +3 = 23

So

f(g(3)) = 23

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