The table represents the function f(x). What is f(3)?
X
-9
--3
-1
f(x)
-9
-6
--3
-2
1
-1
9
-
0
0
1
3
6
WN
9

Which function has the domain x> -11

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Find a third-degree polynomial equation with rational coefficients that has roots -2 and 6+i