5. a) Define the following with an example: i) Domain of a function ii) One - to - one function A function fis defined on the det of real numbers by f(x) = 4x+1 2x-3 b) %3D i) Write down the domain of f. ii) Show that f is a one- to - one function. iii) Find the inverse of the function f. c) Given the function f(x) = x2, g(x) = 3x - 4, find the composite %3D function gof(where gofmeans f-1followed by g) d) A function f is defined on the set N of natural numbers by KO) = 2, (2) = 5 and f(n) = 2 f(n - 1) +3 fn - 2) + f(n - 3) for all n 2 3. Find (4).

Q: If the function is one-to-one, find its inverse. If not, write "not one-to-one." 12) f(x)= 2 X-5 A)…

A:

Q: 1. Find the inverse of the following function: f(x) = x² + 2x-4. Restrict the domain of f(x) such…

A:

Q: 44) Use the functions defined below to answer the following questions. f(x) g(x) 5 1 8 2 -2 3 8 -7 X…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.