Question

If f(x) = 2x + 3 and g(x) = x2 + 1, find f(g(3)). A. 23 B. 47 C. 82 D. 90

Answer 1

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) = $3^2 +1$ = 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