Explain why f(x) = x^2+x+1 is a unit in Z2[x] / (x^3+x+1) and find its inverse.
Explain why f(x) = x^2+x+1 is a unit in Z2[x] / (x^3+x+1) and find its inverse.
Justify all your answers. Exercise 1. In each part explain why t e Fp[a] is a unit and find its inverse. (a) t = -3+ 2a, F=Q, p= x2 – 2 (6) t = 1+a+a?, F = Z3, p= x2 +1 (c) t = 1+a+a?, F = Z2, p= x3 + x +1
find the inverse of f-1(x) of the function f(x)= ^3 root x-5
3) find the inverse f(x) of the function, f(x) = 3JX-5 3x = 14-5 deel X² = Jy - 5
The function f is one-to-one. Find its inverse. f(x) = 3 = x + 5 of?(x) = ? 3 5 f1(x) = 1 x3 +5 Of(x) = 3 //x + 5 o f1(x) = x-5 O None of these
Find the inverse of the one-to-one function f(x) = 2x − 3. f −1(x) =
Show that the given function is one-to-one and find its inverse. 1 1 f(x) x + 1
For the function f(x)=−3−5x^3 find the derivative of the inverse function f-1 at the point x=37. (f−1)'(37)=
. The figure shows the vector field F(x, y)-< 2ry, z2 > and three curves that start and end at (1,2) and (3, 2) Explain why F dr has the same value for all three curves, and give that common value. 0
. The figure shows the vector field F(x, y)- and three curves that start and end at (1,2) and (3, 2) Explain why F dr has the same value for all three curves, and give that common value....
(1 point) f(x) = 5x + 6 a. Find a formula for the inverse of the function. f-1 (x)= b. Graph the function and its inverse on the same set of axes, along with the graph of yx
6) Find the inverse of each matrix below or explain why no such inverse exists. (10 pts.) 1-2 1 13 2 1 -2 -6] 5 10] [1 0 li -1 -2 1 10 3 -3 -1] 1 1]
Find the inverse, f-1(x), for each function 7. f(x) x3 2х+3 8. f (x) 5x4