Question

Given the following functions: f(x) = x^2 g(x) = x - 3 Find the composition of the two functions and show your process: g(f(x))

Answer 1

x^2-6x+9

Explanation:

for f=x^2 subsititude x with g(x) = x-3 in which will give you (x-3)^2 using the perfect square formula ((a-b)^2=a^2-2ab+b^2) in which a=x, b=3. you shall then get x^2 -2x · 3 + 3^2 to get x^2-6x+9