Q2: (a) Determine which of these functions are injective, surjective, and bijective. The function f : R →R are defined by (i) f(x) = 2r + 1 (ii) f(x) = e" (iii) f(x) = r* – 3r (b) Let f and g both be functions from reals to reals. Let f(r) = 2x – 3 and g(r) = 3r – 4. Define what is ((fo g) o f). %3D

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

A:

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = In  (2 + In x)

A:

Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

A:

Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use…

A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: c) Identify two functions, f(x) and g(x), in which (f o g)(x) will have the domain {x €R|x2 2, x #…

A:

Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: f: R→ R…

A:

Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: ƒ : R → R…

A: Given:The functions and  are given as: given by ; given by ., where  is the set of all real…

Q: Express the function F in the form f∘g. (Enter your answers as a comma-separated list. Use…

A: Remark: we know that (f•g)(x) = f(g(x))