discrete math problem 2) X+1 Show that the function g is one-to- If g:(2,) - (2,)...
If g:(2,0) = (2,00) is defined by g(x) Show that the function g is one-to- X-2 one and onto.
Discrete Math 11. Consider the function f : ZZ, given by f(n) = 5n - 2. (a). Show that f is injective (namely, one-to-one). (b). Determine if f is surjective (namely, onto). Justify your answer.
ONLY THE LAST ONE (4) . DISCRETE MATH Problem 1: Show that f(n) = (n + 2) log2(n+ 1) + log2 (n3 + 1) is O(n log2 n). Problem 2: Prove that x? + 7x + 2 is 12(x°). Problem 3: Prove that 5x4 + 2x} – 1 is ©(x4). Problem 4: Find all pairs of functions in the following list that are of the same order: n2 + logn, 21 + 31, 100n3 +n2, n2 + 21, n? +...
discrete Math PLEASE CIRCLE ALL THE FINAL ANSWERS (1 pt) Consider the function f: R → R defined by f(x) = x2 + 8. Let I = (-6,3]. Describe the following sets as unions of disjoint intervals. (Hint: sketch the graph first.] f(1) = im(f) = where im(f) denotes the image (or range) off. [Syntax: use +:Inf for plus/minus infinity and the letter U for unions. For example: (-Inf-20]U(-0.5,1.5]U(3.5, Inf).] (1 pt) Consider the function f: R → (7,00) defined...
please.show work and answer full.question. this js discrete math. 1. Determine whether each of the functions is one-to-one and/or onto. a. f:R - R, f(x) = 19(x) = log2(x) one-to-one onto onto one-to-one b. f:N NX N, f(x) = (x,x) onto one-to-one c. f:R+ (-1,1), f(x) = cos(x) one-to-one onto d. 8:[2,3) –> (0, +), f(x) = ***
Let g be the function defined by 1 if x < 6 g(x) = 2 - 6 if x 26. Find g(-6), g(0), g(6), and g(12). 9(-6) g(0) = 9(6) 9(12) =
O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. g={(-2, 5), (3, - 2), (6, 4), (8, 9)} h(x)= *+9 11 Find the following. 8'(-2) = 0 00 x X 5 ? (non ') (1) = 0
Hello, I need help with the following Discrete problem, thank you! 2. Find real numbers x and y satisfying LY J LX J = LYX J - 1 3. Give examples of functions f and g such that f•g is onto, but g is not onto.
Inverse functions:linear, discrete The one-to-one functions g and h are defined as follows. g={(-1, 4), (0, 8), (4, 2), (6, 1), (8, – 1)} h(x)= 4x-3 Find the following. = g 님 Х ? h (non) (1) = 1
= OGRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. g(x) = 4x -9 h={(3, 5), (4, - 7), (5, 4), (8, 1), (9, 3)} Find the following. DO 8-'(x) = 0 (es)6) = 0 X Ś ?