Question

f(x)=x2

g(x)=x−3

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

f(g(x))

Answer 1

Answer:

x²-6x+9

Step-by-step 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

Answer:

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