Question

Let f and g be two functions with f(x)=2x+1 and g(x)=x

2
. Which one of the following functions represents f∘g ?
4x
2
+2
2x
2
+1
(2x+1)
2

4x+3
​

Answer 1

(f ￮ g)(x) = 2x² + 1

Explanation:

to find (f ￮ g)(x) substitute x = g(x) into f(x) , that is

f(g(x))

= f(x²)

= 2(x²) + 1

= 2x² + 1