Question

Question 2 (1 point)Given f(x) = x^2+1 and g(x) = x + 2, what is the value of f(g(2))?a) 17b) 4c) 5d) 7

Answer 1

1) Composite functions

Considering f(x) = x²+1 and g(x)=x+2

Let's calculate the composition of the function f(g(x)) in the point x=2

f(g(x))= (x+2)²+1

f(g(2))= (2+2)²+1

f(g(2))=(4)²+1

f(g(2))=16+1

f(g(2))=17