Question

Problem 2 Consider three functions f, g, and h, whose domain and target are Z. Let fx)x2 g(x)=2x (a) Evaluate fo g(0) (b) Give a mathematical expression for f o g

Answer 1

Answer:

a) 0; b) 4$x^{2}$

Step-by-step explanation:

a) To compute f o g (0), first evaluate g(x) for x=0 and then evaluate f for x=g(0).

$f \circ g (0)=f(2 \cdot 0)=f(0)=0^2$

b) To compute a mathematical expression for f o g do the same but instead of 0 use x,

$f \circ g (x) = f( 2 \cdot x)= (2 \cdot x )^2$