Question 1) Given: F (x) = 3x^2 + 1, G (x) = 2x - 3, H (x) = x

Find: F (G (x)) =

Question 2)

Given: F (x) = 3x^2 + 1, G (x) = 2x - 3, H (x) = x

Find: H - 1 (x) =

Question 1)

Given: F (x) = 3x^2 + 1, G (x) = 2x - 3, H (x) = x

F (G (x)) = 3 (2x - 3) ^2 + 1

F (G (x)) = 3 (4x^2 - 12x + 9) + 1

F (G (x)) = 12x^2 - 36x + 27 + 1

F (G (x)) = 12x^2 - 36x + 28

Question 2)

Given: F (x) = 3x^2 + 1, G (x) = 2x - 3, H (x) = x

H - 1 (x) = x (inverse)