it just so happen that √2 is an irrational number, so any product with it as a factor, will yield an irrational number as well.
factoid: Ancient Greeks were scared of irrational numbers, and they steered clear from √2.
F(x) = ㏑(x² - 4)
Domain: {-2 ≤ x ≤ 2}, or [-2, 2]
Answer:
x+((4 + 1/3))=(-(2 + 5/6))
6x = -43
x≈ -7.166667
(f ○g ) (2)= 11
Step-by-step explanation:
(f ○g ) (x)= (f(g(x))
= 5( x² -1) – 4
= 5x² – 5 – 4
= 5x² – 9
(f ○g ) (2)= (f(g(2)) = 5 (2)² – 9 = 5(4) – 9 = 20 – 9 = 11
I hope I helped you^_^