Question

F(x)=x2

g(x)=x−3

Find the composition of the two functions and show your process:

f(g(x))

Answer 1

x²-6x+9

Explanation:

f(x) = x²

g(x) = x-3

f(g(x)) = (x-3)²

=(x-3) (x-3)

= x²-3x-3x+9

= x²-6x+9

Answer 2

`f(x) = {x}^(2) \\ g(x) = x - 3 \\ f(g(x) = f(x - 3) = {(x - 3)}^(2) \\ = {x}^(2) - 2 * x * 3 + {3}^(2) \\ = {x}^(2) - 6x + 9 \\ thank \: you`