Given f (x) = 3.0+ 2 and g(x) = x² + 1, enter the correct value for each of the compositions.
f(g(1)) = 3x+1
g(f(-3)) = x+1

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x